%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT399-1 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n026.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 17:23:09 EDT 2024

% Result   : Unsatisfiable 1.83s 1.99s
% Output   : Proof 2.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : LAT399-1 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 27 15:05:39 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.83/1.99  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.JyPzMHOCPC/cvc5---1.0.5_495.smt2
% 1.83/1.99  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.JyPzMHOCPC/cvc5---1.0.5_495.smt2
% 2.24/2.41  (assume a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.24/2.41  (assume a1 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.24/2.41  (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.24/2.41  (assume a3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 2.24/2.41  (assume a4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))
% 2.24/2.41  (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))
% 2.24/2.41  (assume a6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 2.24/2.41  (assume a7 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1)))))
% 2.24/2.41  (assume a8 (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)))))
% 2.24/2.41  (assume a9 (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))))
% 2.24/2.41  (step t1 (cl (not (= (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (= (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))))) (not (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) (or (= (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule equiv_pos2)
% 2.24/2.41  (step t2 (cl (= (= (= (not (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)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) true) (= (not (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)))) (= (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 equiv_simplify)
% 2.24/2.41  (step t3 (cl (not (= (= (not (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)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) true)) (= (not (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)))) (= (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 equiv1 :premises (t2))
% 2.24/2.41  (step t4 (cl (= (= (not (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)))) (= (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)) (not (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 all_simplify)
% 2.24/2.41  (step t5 (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)) (= (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 refl)
% 2.24/2.41  (step t6 (cl (= (not (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)))) (= (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 all_simplify)
% 2.24/2.41  (step t7 (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 (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))))) (= (= (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 cong :premises (t5 t6))
% 2.24/2.41  (step t8 (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)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) true)) :rule all_simplify)
% 2.24/2.41  (step t9 (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 (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))))) true)) :rule trans :premises (t7 t8))
% 2.24/2.41  (step t10 (cl (= (= (not (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)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) true)) :rule trans :premises (t4 t9))
% 2.24/2.41  (step t11 (cl (= (not (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)))) (= (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 t10))
% 2.24/2.41  (step t12 (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.upme (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 refl)
% 2.24/2.41  (step t13 (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.lome (tptp.meet tptp.a tptp.z1) tptp.z2 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)
% 2.24/2.41  (step t14 (cl (= (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (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 refl)
% 2.24/2.41  (step t15 (cl (= (not (= (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 refl)
% 2.24/2.41  (step t16 (cl (= (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.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))))) :rule refl)
% 2.24/2.41  (step t17 (cl (= (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule refl)
% 2.24/2.41  (step t18 (cl (= (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.meet 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 refl)
% 2.24/2.41  (step t19 (cl (= (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (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 refl)
% 2.24/2.41  (step t20 (cl (= (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))))) :rule refl)
% 2.24/2.41  (step t21 (cl (= (not (= (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 refl)
% 2.24/2.41  (step t22 (cl (= (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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 refl)
% 2.24/2.41  (step t23 (cl (= (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.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule refl)
% 2.24/2.41  (step t24 (cl (= (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.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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 refl)
% 2.24/2.41  (step t25 (cl (= (not (= 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 refl)
% 2.24/2.41  (step t26 (cl (= (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.a 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 refl)
% 2.24/2.41  (step t27 (cl (= (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 refl)
% 2.24/2.41  (step t28 (cl (= (not (= 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 refl)
% 2.24/2.41  (step t29 (cl (= (not (= 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 refl)
% 2.24/2.41  (step t30 (cl (= (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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)
% 2.24/2.41  (step t31 (cl (= (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.meet (tptp.meet tptp.a tptp.z1) 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 refl)
% 2.24/2.41  (step t32 (cl (= (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (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 refl)
% 2.24/2.41  (step t33 (cl (= (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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)
% 2.24/2.41  (step t34 (cl (= (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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 refl)
% 2.24/2.41  (step t35 (cl (= (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.z2 (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 refl)
% 2.24/2.41  (step t36 (cl (= (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.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule refl)
% 2.24/2.41  (step t37 (cl (= (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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 refl)
% 2.24/2.41  (step t38 (cl (= (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.z3 (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 refl)
% 2.24/2.41  (step t39 (cl (= (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 refl)
% 2.24/2.41  (step t40 (cl (= (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.z2 (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 refl)
% 2.24/2.41  (step t41 (cl (= (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.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule refl)
% 2.24/2.41  (step t42 (cl (= (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.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))))) :rule refl)
% 2.24/2.41  (step t43 (cl (= (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.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (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 refl)
% 2.24/2.41  (step t44 (cl (= (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.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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 refl)
% 2.24/2.41  (step t45 (cl (= (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.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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 refl)
% 2.24/2.41  (step t46 (cl (= (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.z3 (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 refl)
% 2.24/2.41  (step t47 (cl (= (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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 refl)
% 2.24/2.41  (step t48 (cl (= (not (= 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 refl)
% 2.24/2.41  (step t49 (cl (= (not (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (not (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))))) :rule refl)
% 2.24/2.41  (step t50 (cl (= (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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)
% 2.24/2.41  (step t51 (cl (= (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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)
% 2.24/2.41  (step t52 (cl (= (not (= 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 refl)
% 2.24/2.41  (step t53 (cl (= (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.meet (tptp.meet tptp.a 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 refl)
% 2.24/2.41  (step t54 (cl (= (not (= (tptp.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.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)))))) (not (= (tptp.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.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 refl)
% 2.24/2.41  (step t55 (cl (= (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join 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 refl)
% 2.24/2.41  (step t56 (cl (= (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.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet 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)
% 2.24/2.41  (step t57 (cl (= (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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 refl)
% 2.24/2.41  (step t58 (cl (= (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.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule refl)
% 2.24/2.41  (step t59 (cl (= (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a 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 refl)
% 2.24/2.41  (step t60 (cl (= (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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 refl)
% 2.24/2.41  (step t61 (cl (= (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))))) :rule refl)
% 2.24/2.41  (step t62 (cl (= (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 refl)
% 2.24/2.41  (step t63 (cl (= (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))))) :rule refl)
% 2.24/2.41  (step t64 (cl (= (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.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a 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 refl)
% 2.24/2.41  (step t65 (cl (= (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 refl)
% 2.24/2.41  (step t66 (cl (= (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 refl)
% 2.24/2.41  (step t67 (cl (= (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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 refl)
% 2.24/2.41  (step t68 (cl (= (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.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 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 refl)
% 2.24/2.41  (step t69 (cl (= (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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 refl)
% 2.24/2.41  (step t70 (cl (= (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.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet 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)
% 2.24/2.41  (step t71 (cl (= (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.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet 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 refl)
% 2.24/2.41  (step t72 (cl (= (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.join 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 refl)
% 2.24/2.41  (step t73 (cl (= (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule refl)
% 2.24/2.41  (step t74 (cl (= (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.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 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 refl)
% 2.24/2.41  (step t75 (cl (= (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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)
% 2.24/2.41  (step t76 (cl (= (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))))) :rule refl)
% 2.24/2.41  (step t77 (cl (= (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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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 refl)
% 2.24/2.41  (step t78 (cl (= (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.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)
% 2.24/2.41  (step t79 (cl (= (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.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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 refl)
% 2.24/2.41  (step t80 (cl (= (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))))) :rule refl)
% 2.24/2.41  (step t81 (cl (= (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.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (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 refl)
% 2.24/2.41  (step t82 (cl (= (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.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (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 refl)
% 2.24/2.41  (step t83 (cl (= (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))))) :rule refl)
% 2.24/2.41  (step t84 (cl (= (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))))) :rule refl)
% 2.24/2.41  (step t85 (cl (= (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule refl)
% 2.24/2.41  (step t86 (cl (= (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (= (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))))) :rule cong :premises (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))
% 2.24/2.41  (step t87 (cl (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) :rule and_neg)
% 2.24/2.41  (step t88 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) :rule implies_neg1)
% 2.24/2.41  (anchor :step t89)
% 2.24/2.41  (assume t89.a0 (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))))
% 2.24/2.41  (assume t89.a1 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))
% 2.24/2.41  (assume t89.a2 (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 2.24/2.41  (assume t89.a3 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.24/2.41  (assume t89.a4 (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))
% 2.24/2.41  (assume t89.a5 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))
% 2.24/2.41  (assume t89.a6 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))
% 2.24/2.41  (assume t89.a7 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))
% 2.24/2.41  (assume t89.a8 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 2.24/2.41  (assume t89.a9 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 2.24/2.41  (assume t89.a10 (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))
% 2.24/2.41  (assume t89.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))))
% 2.24/2.41  (assume t89.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))))
% 2.24/2.41  (assume t89.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))))
% 2.24/2.41  (assume t89.a14 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))
% 2.24/2.41  (assume t89.a15 (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 2.24/2.41  (assume t89.a16 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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)))))
% 2.24/2.41  (assume t89.a17 (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))
% 2.24/2.41  (assume t89.a18 (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))
% 2.24/2.41  (assume t89.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)))))
% 2.24/2.41  (assume t89.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)))))
% 2.24/2.41  (assume t89.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))))
% 2.24/2.41  (assume t89.a22 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 2.24/2.41  (assume t89.a23 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 2.24/2.41  (assume t89.a24 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 2.24/2.41  (assume t89.a25 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))
% 2.24/2.41  (assume t89.a26 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 2.24/2.41  (assume t89.a27 (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 2.24/2.41  (assume t89.a28 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 2.24/2.41  (assume t89.a29 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 2.24/2.41  (assume t89.a30 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))
% 2.24/2.41  (assume t89.a31 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))
% 2.24/2.41  (assume t89.a32 (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 2.24/2.41  (assume t89.a33 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 2.25/2.41  (assume t89.a34 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.a35 (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.a36 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))
% 2.25/2.41  (assume t89.a37 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 2.25/2.41  (assume t89.a38 (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))
% 2.25/2.41  (assume t89.a39 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 2.25/2.41  (assume t89.a40 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.a41 (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 2.25/2.41  (assume t89.a42 (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.a43 (= (tptp.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.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))))))
% 2.25/2.41  (assume t89.a44 (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.a45 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.a46 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.a47 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.a48 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.a49 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))
% 2.25/2.41  (assume t89.a50 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.a51 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 2.25/2.41  (assume t89.a52 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.a53 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.a54 (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.41  (assume t89.a55 (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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))))))
% 2.25/2.41  (assume t89.a56 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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)))
% 2.25/2.41  (assume t89.a57 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))
% 2.25/2.41  (assume t89.a58 (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.41  (assume t89.a59 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.a60 (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))
% 2.25/2.41  (assume t89.a61 (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))
% 2.25/2.41  (assume t89.a62 (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 2.25/2.41  (assume t89.a63 (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.a64 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))
% 2.25/2.41  (assume t89.a65 (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)))
% 2.25/2.41  (assume t89.a66 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.a67 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.a68 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 2.25/2.41  (assume t89.a69 (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)))
% 2.25/2.41  (assume t89.a70 (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 2.25/2.41  (assume t89.a71 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 2.25/2.41  (assume t89.a72 (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)))
% 2.25/2.41  (assume t89.a73 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))
% 2.25/2.41  (step t89.t1 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule implies_neg1)
% 2.25/2.41  (anchor :step t89.t2)
% 2.25/2.41  (assume t89.t2.a0 (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))))
% 2.25/2.41  (assume t89.t2.a1 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.t2.a2 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a3 (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a4 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a5 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.t2.a6 (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))
% 2.25/2.41  (assume t89.t2.a7 (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a8 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.41  (assume t89.t2.a9 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 2.25/2.41  (assume t89.t2.a10 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 2.25/2.41  (assume t89.t2.a11 (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)))
% 2.25/2.41  (assume t89.t2.a12 (= (tptp.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.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))))))
% 2.25/2.41  (assume t89.t2.a13 (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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))))))
% 2.25/2.41  (assume t89.t2.a14 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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)))))
% 2.25/2.41  (assume t89.t2.a15 (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.41  (assume t89.t2.a16 (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))
% 2.25/2.41  (assume t89.t2.a17 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.t2.a18 (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.t2.a19 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a20 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.t2.a21 (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))
% 2.25/2.41  (assume t89.t2.a22 (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.t2.a23 (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.t2.a24 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))
% 2.25/2.41  (assume t89.t2.a25 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a26 (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.t2.a27 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))
% 2.25/2.41  (assume t89.t2.a28 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.t2.a29 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))
% 2.25/2.41  (assume t89.t2.a30 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.t2.a31 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.t2.a32 (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 2.25/2.41  (assume t89.t2.a33 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))
% 2.25/2.41  (assume t89.t2.a34 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 2.25/2.41  (assume t89.t2.a35 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.t2.a36 (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)))
% 2.25/2.41  (assume t89.t2.a37 (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 2.25/2.41  (assume t89.t2.a38 (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))
% 2.25/2.41  (assume t89.t2.a39 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 2.25/2.41  (assume t89.t2.a40 (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.t2.a41 (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a42 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.t2.a43 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.t2.a44 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a45 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 2.25/2.41  (assume t89.t2.a46 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 2.25/2.41  (assume t89.t2.a47 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.t2.a48 (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)))
% 2.25/2.41  (assume t89.t2.a49 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.41  (assume t89.t2.a50 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 2.25/2.41  (assume t89.t2.a51 (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 2.25/2.41  (assume t89.t2.a52 (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.41  (assume t89.t2.a53 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 2.25/2.41  (assume t89.t2.a54 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))
% 2.25/2.41  (assume t89.t2.a55 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.t2.a56 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.t2.a57 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 2.25/2.41  (assume t89.t2.a58 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a59 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a60 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a61 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))
% 2.25/2.41  (assume t89.t2.a62 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))
% 2.25/2.41  (assume t89.t2.a63 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 2.25/2.41  (assume t89.t2.a64 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 2.25/2.41  (assume t89.t2.a65 (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))
% 2.25/2.41  (assume t89.t2.a66 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a67 (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))
% 2.25/2.41  (assume t89.t2.a68 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))
% 2.25/2.41  (assume t89.t2.a69 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.t2.a70 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.41  (assume t89.t2.a71 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 2.25/2.41  (assume t89.t2.a72 (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 2.25/2.41  (assume t89.t2.a73 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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)))
% 2.25/2.41  (step t89.t2.t1 (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) false) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule equiv_simplify)
% 2.25/2.41  (step t89.t2.t2 (cl (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) false)) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule equiv1 :premises (t89.t2.t1))
% 2.25/2.41  (step t89.t2.t3 (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 (t89.t2.a7))
% 2.25/2.41  (step t89.t2.t4 (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 (t89.t2.t3))
% 2.25/2.41  (step t89.t2.t5 (cl (= (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) tptp.a)) :rule symm :premises (t89.t2.a6))
% 2.25/2.41  (step t89.t2.t6 (cl (= (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) :rule refl)
% 2.25/2.41  (step t89.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.z1 (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t89.t2.t5 t89.t2.t6))
% 2.25/2.41  (step t89.t2.t8 (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 (t89.t2.a2))
% 2.25/2.41  (step t89.t2.t9 (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 (t89.t2.a1))
% 2.25/2.41  (step t89.t2.t10 (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 (t89.t2.t4 t89.t2.t7 t89.t2.t8 t89.t2.t9))
% 2.25/2.41  (step t89.t2.t11 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) :rule refl)
% 2.25/2.41  (step t89.t2.t12 (cl (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) :rule refl)
% 2.25/2.41  (step t89.t2.t13 (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 (t89.t2.a16 t89.t2.t12))
% 2.25/2.41  (step t89.t2.t14 (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 (t89.t2.a18))
% 2.25/2.41  (step t89.t2.t15 (cl (= tptp.z3 tptp.z3)) :rule refl)
% 2.25/2.41  (step t89.t2.t16 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)) tptp.z2)) :rule symm :premises (t89.t2.a17))
% 2.25/2.41  (step t89.t2.t17 (cl (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join tptp.z3 tptp.z2))) :rule cong :premises (t89.t2.t15 t89.t2.t16))
% 2.25/2.41  (step t89.t2.t18 (cl (= (tptp.join tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) :rule symm :premises (t89.t2.a16))
% 2.25/2.41  (step t89.t2.t19 (cl (= (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) :rule trans :premises (t89.t2.t13 t89.t2.t14 t89.t2.t17 t89.t2.t18))
% 2.25/2.41  (step t89.t2.t20 (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 (t89.t2.t11 t89.t2.t19))
% 2.25/2.41  (step t89.t2.t21 (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t89.t2.t20))
% 2.25/2.41  (step t89.t2.t22 (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 (t89.t2.a19))
% 2.25/2.41  (step t89.t2.t23 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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 (t89.t2.a26))
% 2.25/2.41  (step t89.t2.t24 (cl (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join 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 (t89.t2.t23))
% 2.25/2.41  (step t89.t2.t25 (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 (t89.t2.t22))
% 2.25/2.41  (step t89.t2.t26 (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 (t89.t2.t25 t89.t2.t20 t89.t2.t9))
% 2.25/2.41  (step t89.t2.t27 (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 (t89.t2.a25))
% 2.25/2.41  (step t89.t2.t28 (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 (t89.t2.t27))
% 2.25/2.41  (step t89.t2.t29 (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 (t89.t2.a24))
% 2.25/2.41  (step t89.t2.t30 (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 (t89.t2.t29))
% 2.25/2.41  (step t89.t2.t31 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) :rule refl)
% 2.25/2.41  (step t89.t2.t32 (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 (t89.t2.a21 t89.t2.t31))
% 2.25/2.41  (step t89.t2.t33 (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 (t89.t2.a23))
% 2.25/2.41  (step t89.t2.t34 (cl (= (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) tptp.z2)) :rule symm :premises (t89.t2.a22))
% 2.25/2.41  (step t89.t2.t35 (cl (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z3 tptp.z2))) :rule cong :premises (t89.t2.t15 t89.t2.t34))
% 2.25/2.41  (step t89.t2.t36 (cl (= (tptp.meet tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) :rule symm :premises (t89.t2.a21))
% 2.25/2.41  (step t89.t2.t37 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) :rule trans :premises (t89.t2.t30 t89.t2.t32 t89.t2.t33 t89.t2.t35 t89.t2.t36))
% 2.25/2.41  (step t89.t2.t38 (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 (t89.t2.t37 t89.t2.t26))
% 2.25/2.41  (step t89.t2.t39 (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 (t89.t2.a20))
% 2.25/2.41  (step t89.t2.t40 (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t89.t2.t28 t89.t2.t38 t89.t2.t39 t89.t2.a8))
% 2.25/2.41  (step t89.t2.t41 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (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.join (tptp.meet (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 (t89.t2.t26 t89.t2.t40))
% 2.25/2.41  (step t89.t2.t42 (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.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.join (tptp.meet (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 (t89.t2.a15))
% 2.25/2.41  (step t89.t2.t43 (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t89.t2.t42))
% 2.25/2.41  (step t89.t2.t44 (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)
% 2.25/2.41  (step t89.t2.t45 (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 (t89.t2.a9))
% 2.25/2.41  (step t89.t2.t46 (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 (t89.t2.a8))
% 2.25/2.41  (step t89.t2.t47 (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 (t89.t2.t45 t89.t2.t46))
% 2.25/2.41  (step t89.t2.t48 (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 (t89.t2.t44 t89.t2.t47))
% 2.25/2.41  (step t89.t2.t49 (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (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 (t89.t2.t48))
% 2.25/2.41  (step t89.t2.t50 (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 trans :premises (t89.t2.a4 t89.t2.t49 t89.t2.a10))
% 2.25/2.41  (step t89.t2.t51 (cl (= (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule symm :premises (t89.t2.a14))
% 2.25/2.41  (step t89.t2.t52 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 (t89.t2.t51))
% 2.25/2.41  (step t89.t2.t53 (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.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.join (tptp.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 cong :premises (t89.t2.t50 t89.t2.t52))
% 2.25/2.41  (step t89.t2.t54 (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.join (tptp.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 (t89.t2.a13))
% 2.25/2.41  (step t89.t2.t55 (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.meet (tptp.upme (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 refl)
% 2.25/2.41  (step t89.t2.t56 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule symm :premises (t89.t2.a12))
% 2.25/2.41  (step t89.t2.t57 (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 cong :premises (t89.t2.t55 t89.t2.t56))
% 2.25/2.41  (step t89.t2.t58 (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 (t89.t2.a10))
% 2.25/2.41  (step t89.t2.t59 (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 (t89.t2.a4))
% 2.25/2.41  (step t89.t2.t60 (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.z2) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t89.t2.t53 t89.t2.t54 t89.t2.t57 t89.t2.t58 t89.t2.t48 t89.t2.t59))
% 2.25/2.41  (step t89.t2.t61 (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)
% 2.25/2.41  (step t89.t2.t62 (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.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 (t89.t2.t60 t89.t2.t61))
% 2.25/2.41  (step t89.t2.t63 (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t89.t2.a1 t89.t2.t21 t89.t2.t22 t89.t2.t24 t89.t2.t41 t89.t2.t43 t89.t2.t62))
% 2.25/2.41  (step t89.t2.t64 (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.upme (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 (t89.t2.t10 t89.t2.t63))
% 2.25/2.41  (step t89.t2.t65 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule refl)
% 2.25/2.41  (step t89.t2.t66 (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))) :rule cong :premises (t89.t2.t64 t89.t2.t65 t89.t2.t15))
% 2.25/2.41  (step t89.t2.t67 (cl (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t89.t2.a11))
% 2.25/2.41  (step t89.t2.t68 (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.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 (t89.t2.t66 t89.t2.t67 t89.t2.t58 t89.t2.t48 t89.t2.t59))
% 2.25/2.41  (step t89.t2.t69 (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 (t89.t2.t10 t89.t2.t44 t89.t2.t12))
% 2.25/2.41  (step t89.t2.t70 (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 (t89.t2.a5))
% 2.25/2.41  (step t89.t2.t71 (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 (t89.t2.t69 t89.t2.t70 t89.t2.t59))
% 2.25/2.41  (step t89.t2.t72 (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 (t89.t2.t71))
% 2.25/2.41  (step t89.t2.t73 (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.meet (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 trans :premises (t89.t2.t68 t89.t2.t72))
% 2.25/2.41  (step t89.t2.t74 (cl (= (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t89.t2.a31))
% 2.25/2.41  (step t89.t2.t75 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t89.t2.t74))
% 2.25/2.41  (step t89.t2.t76 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule cong :premises (t89.t2.t75 t89.t2.t15))
% 2.25/2.41  (step t89.t2.t77 (cl (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t89.t2.t34))
% 2.25/2.41  (step t89.t2.t78 (cl (= (tptp.meet tptp.z2 (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 cong :premises (t89.t2.t77 t89.t2.t11))
% 2.25/2.41  (step t89.t2.t79 (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 (t89.t2.a30))
% 2.25/2.41  (step t89.t2.t80 (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 (t89.t2.a29))
% 2.25/2.41  (step t89.t2.t81 (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 symm :premises (t89.t2.t80))
% 2.25/2.41  (step t89.t2.t82 (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 (t89.t2.a28))
% 2.25/2.41  (step t89.t2.t83 (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 trans :premises (t89.t2.t82 t89.t2.t9))
% 2.25/2.41  (step t89.t2.t84 (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 trans :premises (t89.t2.a1 t89.t2.a2))
% 2.25/2.41  (step t89.t2.t85 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule trans :premises (t89.t2.t83 t89.t2.t84))
% 2.25/2.41  (step t89.t2.t86 (cl (= tptp.z2 tptp.z2)) :rule refl)
% 2.25/2.41  (step t89.t2.t87 (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.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2))) :rule cong :premises (t89.t2.t85 t89.t2.t86))
% 2.25/2.41  (step t89.t2.t88 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2))) :rule trans :premises (t89.t2.t75 t89.t2.t78 t89.t2.t79 t89.t2.t81 t89.t2.t87))
% 2.25/2.41  (step t89.t2.t89 (cl (= (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2))) :rule trans :premises (t89.t2.t74 t89.t2.t88))
% 2.25/2.41  (step t89.t2.t90 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) 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 cong :premises (t89.t2.t89 t89.t2.t15))
% 2.25/2.41  (step t89.t2.t91 (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 (t89.t2.a27))
% 2.25/2.41  (step t89.t2.t92 (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 (t89.t2.t84 t89.t2.t12))
% 2.25/2.41  (step t89.t2.t93 (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 (t89.t2.t92))
% 2.25/2.41  (step t89.t2.t94 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) 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 trans :premises (t89.t2.t76 t89.t2.t90 t89.t2.t91 t89.t2.t93))
% 2.25/2.41  (step t89.t2.t95 (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) 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 (t89.t2.t73 t89.t2.t94))
% 2.25/2.41  (step t89.t2.t96 (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.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule trans :premises (t89.t2.t71 t89.t2.t84))
% 2.25/2.41  (step t89.t2.t97 (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.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 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 (t89.t2.t96 t89.t2.t92))
% 2.25/2.41  (step t89.t2.t98 (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 (t89.t2.a3))
% 2.25/2.41  (step t89.t2.t99 (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.z2) tptp.z3) (tptp.meet (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 (t89.t2.t95 t89.t2.t97 t89.t2.t98 t89.t2.t8 t89.t2.t9))
% 2.25/2.41  (step t89.t2.t100 (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 symm :premises (t89.t2.t84))
% 2.25/2.41  (step t89.t2.t101 (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 (t89.t2.t10))
% 2.25/2.41  (step t89.t2.t102 (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 (t89.t2.t100 t89.t2.t101))
% 2.25/2.41  (step t89.t2.t103 (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.z2)) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule cong :premises (t89.t2.t102 t89.t2.t65))
% 2.25/2.41  (step t89.t2.t104 (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.z2)) (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.z2)))) :rule symm :premises (t89.t2.t103))
% 2.25/2.41  (step t89.t2.t105 (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.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule symm :premises (t89.t2.a48))
% 2.25/2.41  (step t89.t2.t106 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule symm :premises (t89.t2.t105))
% 2.25/2.41  (step t89.t2.t107 (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 symm :premises (t89.t2.t83))
% 2.25/2.41  (step t89.t2.t108 (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 (t89.t2.t10 t89.t2.t107))
% 2.25/2.41  (step t89.t2.t109 (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 (t89.t2.t108 t89.t2.t11))
% 2.25/2.41  (step t89.t2.t110 (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 (t89.t2.a47))
% 2.25/2.41  (step t89.t2.t111 (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 (t89.t2.a41))
% 2.25/2.41  (step t89.t2.t112 (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 (t89.t2.t111))
% 2.25/2.41  (step t89.t2.t113 (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 (t89.t2.t11 t89.t2.t112))
% 2.25/2.41  (step t89.t2.t114 (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 (t89.t2.a40))
% 2.25/2.41  (step t89.t2.t115 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) :rule trans :premises (t89.t2.t113 t89.t2.t114))
% 2.25/2.41  (step t89.t2.t116 (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 (t89.t2.t31 t89.t2.t115))
% 2.25/2.41  (step t89.t2.t117 (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 (t89.t2.t109 t89.t2.t110 t89.t2.t116 t89.t2.t82 t89.t2.t9))
% 2.25/2.41  (step t89.t2.t118 (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 (t89.t2.t117 t89.t2.t107))
% 2.25/2.41  (step t89.t2.t119 (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.z2) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule cong :premises (t89.t2.t118 t89.t2.t86))
% 2.25/2.41  (step t89.t2.t120 (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 symm :premises (t89.t2.t78))
% 2.25/2.41  (step t89.t2.t121 (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.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t89.t2.t103 t89.t2.t106 t89.t2.t119 t89.t2.t80 t89.t2.a30 t89.t2.t120 t89.t2.t74))
% 2.25/2.41  (step t89.t2.t122 (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.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t89.t2.t104 t89.t2.t121))
% 2.25/2.41  (step t89.t2.t123 (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.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule cong :premises (t89.t2.t122 t89.t2.t15))
% 2.25/2.41  (step t89.t2.t124 (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 (t89.t2.a39))
% 2.25/2.41  (step t89.t2.t125 (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 (t89.t2.t124))
% 2.25/2.41  (step t89.t2.t126 (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.z2)) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule trans :premises (t89.t2.t123 t89.t2.t125))
% 2.25/2.41  (step t89.t2.t127 (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.z3) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule cong :premises (t89.t2.t108 t89.t2.t15))
% 2.25/2.41  (step t89.t2.t128 (cl (= (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.z3)))) :rule symm :premises (t89.t2.a73))
% 2.25/2.41  (step t89.t2.t129 (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.z3) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t89.t2.t127 t89.t2.t128))
% 2.25/2.41  (step t89.t2.t130 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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 symm :premises (t89.t2.t128))
% 2.25/2.41  (step t89.t2.t131 (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 (t89.t2.t118 t89.t2.t15))
% 2.25/2.41  (step t89.t2.t132 (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 (t89.t2.t131))
% 2.25/2.41  (step t89.t2.t133 (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 (t89.t2.a72))
% 2.25/2.41  (step t89.t2.t134 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule refl)
% 2.25/2.41  (step t89.t2.t135 (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 (t89.t2.t102 t89.t2.t134))
% 2.25/2.41  (step t89.t2.t136 (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 (t89.t2.t135))
% 2.25/2.41  (step t89.t2.t137 (cl (= (tptp.meet (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 trans :premises (t89.t2.t130 t89.t2.t132 t89.t2.t133 t89.t2.t136))
% 2.25/2.41  (step t89.t2.t138 (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.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet 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 (t89.t2.t129 t89.t2.t137 t89.t2.t135))
% 2.25/2.41  (step t89.t2.t139 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.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.z2)))) :rule cong :premises (t89.t2.t138 t89.t2.t65))
% 2.25/2.41  (step t89.t2.t140 (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 (t89.t2.t133))
% 2.25/2.41  (step t89.t2.t141 (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 (t89.t2.t12 t89.t2.a16))
% 2.25/2.41  (step t89.t2.t142 (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 (t89.t2.a67))
% 2.25/2.41  (step t89.t2.t143 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) :rule trans :premises (t89.t2.t141 t89.t2.t142 t89.t2.t14 t89.t2.t17 t89.t2.t18))
% 2.25/2.41  (step t89.t2.t144 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t89.t2.t143))
% 2.25/2.41  (step t89.t2.t145 (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 (t89.t2.t11 t89.t2.t144))
% 2.25/2.41  (step t89.t2.t146 (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 (t89.t2.a70))
% 2.25/2.41  (step t89.t2.t147 (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 (t89.t2.a71))
% 2.25/2.41  (step t89.t2.t148 (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 (t89.t2.t147))
% 2.25/2.41  (step t89.t2.t149 (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 (t89.t2.t146))
% 2.25/2.41  (step t89.t2.t150 (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)
% 2.25/2.41  (step t89.t2.t151 (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 (t89.t2.t149 t89.t2.t150))
% 2.25/2.41  (step t89.t2.t152 (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 (t89.t2.a69))
% 2.25/2.41  (step t89.t2.t153 (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 (t89.t2.a68))
% 2.25/2.41  (step t89.t2.t154 (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 (t89.t2.t153))
% 2.25/2.41  (step t89.t2.t155 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) tptp.z2)) :rule symm :premises (t89.t2.a66))
% 2.25/2.41  (step t89.t2.t156 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t89.t2.t155))
% 2.25/2.41  (step t89.t2.t157 (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 (t89.t2.a65))
% 2.25/2.41  (step t89.t2.t158 (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 (t89.t2.t157))
% 2.25/2.41  (step t89.t2.t159 (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 (t89.t2.a64))
% 2.25/2.41  (step t89.t2.t160 (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 (t89.t2.a63))
% 2.25/2.41  (step t89.t2.t161 (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 (t89.t2.t160))
% 2.25/2.41  (step t89.t2.t162 (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 symm :premises (t89.t2.t76))
% 2.25/2.41  (step t89.t2.t163 (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 (t89.t2.a62))
% 2.25/2.41  (step t89.t2.t164 (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 (t89.t2.t159 t89.t2.t161 t89.t2.t162 t89.t2.t163))
% 2.25/2.41  (step t89.t2.t165 (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 (t89.t2.a64 t89.t2.t164))
% 2.25/2.41  (step t89.t2.t166 (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 (t89.t2.t165 t89.t2.t86))
% 2.25/2.41  (step t89.t2.t167 (cl (= tptp.z2 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2))) :rule trans :premises (t89.t2.t156 t89.t2.t158 t89.t2.t166))
% 2.25/2.41  (step t89.t2.t168 (cl (= (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) tptp.z3)) :rule symm :premises (t89.t2.a38))
% 2.25/2.41  (step t89.t2.t169 (cl (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule symm :premises (t89.t2.t168))
% 2.25/2.41  (step t89.t2.t170 (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.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule cong :premises (t89.t2.t167 t89.t2.t169))
% 2.25/2.41  (step t89.t2.t171 (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)
% 2.25/2.41  (step t89.t2.t172 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (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 (t89.t2.t171 t89.t2.t168))
% 2.25/2.41  (step t89.t2.t173 (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 (t89.t2.a61))
% 2.25/2.41  (step t89.t2.t174 (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 (t89.t2.t170 t89.t2.t172 t89.t2.t173))
% 2.25/2.41  (step t89.t2.t175 (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 (t89.t2.t143 t89.t2.t174))
% 2.25/2.41  (step t89.t2.t176 (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.upme (tptp.meet tptp.a tptp.z1) (tptp.meet 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 (t89.t2.t175 t89.t2.t150))
% 2.25/2.41  (step t89.t2.t177 (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)
% 2.25/2.41  (step t89.t2.t178 (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 (t89.t2.a60))
% 2.25/2.41  (step t89.t2.t179 (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 (t89.t2.t178))
% 2.25/2.41  (step t89.t2.t180 (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 (t89.t2.a59))
% 2.25/2.41  (step t89.t2.t181 (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 (t89.t2.a58))
% 2.25/2.41  (step t89.t2.t182 (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.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t89.t2.t179 t89.t2.t180 t89.t2.t181 t89.t2.t28 t89.t2.t38 t89.t2.t39))
% 2.25/2.41  (step t89.t2.t183 (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.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join 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 (t89.t2.t177 t89.t2.t182))
% 2.25/2.41  (step t89.t2.t184 (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 (t89.t2.t9 t89.t2.t12))
% 2.25/2.41  (step t89.t2.t185 (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 (t89.t2.t184))
% 2.25/2.41  (step t89.t2.t186 (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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 (t89.t2.t177 t89.t2.t185))
% 2.25/2.41  (step t89.t2.t187 (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t89.t2.t176 t89.t2.t183 t89.t2.t186 t89.t2.t180 t89.t2.t181 t89.t2.t28 t89.t2.t38 t89.t2.t39))
% 2.25/2.41  (step t89.t2.t188 (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 (t89.t2.t187 t89.t2.a20))
% 2.25/2.41  (step t89.t2.t189 (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 (t89.t2.t188 t89.t2.t11))
% 2.25/2.41  (step t89.t2.t190 (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 (t89.t2.a55))
% 2.25/2.41  (step t89.t2.t191 (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 (t89.t2.t190))
% 2.25/2.41  (step t89.t2.t192 (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 (t89.t2.t185 t89.t2.t191))
% 2.25/2.41  (step t89.t2.t193 (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 (t89.t2.t185 t89.t2.t192))
% 2.25/2.41  (step t89.t2.t194 (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 (t89.t2.t193))
% 2.25/2.41  (step t89.t2.t195 (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 (t89.t2.t185 t89.t2.a54 t89.t2.t194))
% 2.25/2.41  (step t89.t2.t196 (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 (t89.t2.t39 t89.t2.t195))
% 2.25/2.41  (step t89.t2.t197 (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 (t89.t2.t196 t89.t2.t11))
% 2.25/2.41  (step t89.t2.t198 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (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 (t89.t2.a1 t89.t2.t145 t89.t2.t146 t89.t2.t148 t89.t2.t151 t89.t2.t152 t89.t2.t154 t89.t2.t189 t89.t2.t197))
% 2.25/2.41  (step t89.t2.t199 (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 (t89.t2.t83 t89.t2.t198))
% 2.25/2.41  (step t89.t2.t200 (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 (t89.t2.t199 t89.t2.t15))
% 2.25/2.41  (step t89.t2.t201 (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 (t89.t2.a57))
% 2.25/2.41  (step t89.t2.t202 (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 (t89.t2.a56))
% 2.25/2.41  (step t89.t2.t203 (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 (t89.t2.t202))
% 2.25/2.41  (step t89.t2.t204 (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 (t89.t2.a54))
% 2.25/2.41  (step t89.t2.t205 (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 (t89.t2.t125 t89.t2.t61))
% 2.25/2.41  (step t89.t2.t206 (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 (t89.t2.t193 t89.t2.t204 t89.t2.t184 t89.t2.a8 t89.t2.t205))
% 2.25/2.41  (step t89.t2.t207 (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 (t89.t2.t134 t89.t2.t206))
% 2.25/2.41  (step t89.t2.t208 (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 (t89.t2.a53))
% 2.25/2.41  (step t89.t2.t209 (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 (t89.t2.a52))
% 2.25/2.41  (step t89.t2.t210 (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 (t89.t2.t209))
% 2.25/2.41  (step t89.t2.t211 (cl (= (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) tptp.z3)) :rule symm :premises (t89.t2.a51))
% 2.25/2.41  (step t89.t2.t212 (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 (t89.t2.t211 t89.t2.t61))
% 2.25/2.41  (step t89.t2.t213 (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 (t89.t2.t210 t89.t2.t212))
% 2.25/2.41  (step t89.t2.t214 (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 (t89.t2.t11 t89.t2.t213))
% 2.25/2.41  (step t89.t2.t215 (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 (t89.t2.a50))
% 2.25/2.41  (step t89.t2.t216 (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 (t89.t2.a49))
% 2.25/2.41  (step t89.t2.t217 (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 (t89.t2.t135 t89.t2.t140 t89.t2.t131 t89.t2.t200 t89.t2.t201 t89.t2.t203 t89.t2.t207 t89.t2.t208 t89.t2.t214 t89.t2.t215 t89.t2.t216))
% 2.25/2.41  (step t89.t2.t218 (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 (t89.t2.t136 t89.t2.t217))
% 2.25/2.41  (step t89.t2.t219 (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.meet (tptp.meet tptp.a tptp.z1) 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 (t89.t2.t218 t89.t2.t65))
% 2.25/2.41  (step t89.t2.t220 (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 (t89.t2.a34))
% 2.25/2.41  (step t89.t2.t221 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) 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 (t89.t2.t139 t89.t2.t219 t89.t2.t220))
% 2.25/2.41  (step t89.t2.t222 (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.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) 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.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t89.t2.t126 t89.t2.t221))
% 2.25/2.41  (step t89.t2.t223 (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 (t89.t2.a44))
% 2.25/2.41  (step t89.t2.t224 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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.z2)))) :rule cong :premises (t89.t2.t11 t89.t2.t223))
% 2.25/2.41  (step t89.t2.t225 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) 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 (t89.t2.t224))
% 2.25/2.41  (step t89.t2.t226 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule symm :premises (t89.t2.a43))
% 2.25/2.41  (step t89.t2.t227 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t89.t2.t226))
% 2.25/2.41  (step t89.t2.t228 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t89.t2.t75 t89.t2.t11))
% 2.25/2.41  (step t89.t2.t229 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))))) :rule symm :premises (t89.t2.a42))
% 2.25/2.41  (step t89.t2.t230 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t89.t2.t86 t89.t2.t115))
% 2.25/2.41  (step t89.t2.t231 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a 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 trans :premises (t89.t2.t224 t89.t2.t227 t89.t2.t228 t89.t2.t229 t89.t2.t230 t89.t2.t74))
% 2.25/2.41  (step t89.t2.t232 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t89.t2.t225 t89.t2.t231))
% 2.25/2.41  (step t89.t2.t233 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule cong :premises (t89.t2.t232 t89.t2.t168))
% 2.25/2.41  (step t89.t2.t234 (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule symm :premises (t89.t2.t233))
% 2.25/2.41  (step t89.t2.t235 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule refl)
% 2.25/2.41  (step t89.t2.t236 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule cong :premises (t89.t2.t235 t89.t2.t169))
% 2.25/2.41  (step t89.t2.t237 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule symm :premises (t89.t2.t236))
% 2.25/2.41  (step t89.t2.t238 (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule trans :premises (t89.t2.t234 t89.t2.t237))
% 2.25/2.41  (step t89.t2.t239 (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule trans :premises (t89.t2.t124 t89.t2.t238))
% 2.25/2.41  (step t89.t2.t240 (cl (= (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.z2)) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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 (t89.t2.t239 t89.t2.a46))
% 2.25/2.41  (step t89.t2.t241 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule refl)
% 2.25/2.41  (step t89.t2.t242 (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 (t89.t2.a46))
% 2.25/2.41  (step t89.t2.t243 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule trans :premises (t89.t2.t242 t89.t2.a34))
% 2.25/2.41  (step t89.t2.t244 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t89.t2.t241 t89.t2.t243))
% 2.25/2.41  (step t89.t2.t245 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)))) :rule symm :premises (t89.t2.a45))
% 2.25/2.41  (step t89.t2.t246 (cl (= (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule cong :premises (t89.t2.t169 t89.t2.t65))
% 2.25/2.41  (step t89.t2.t247 (cl (= (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule symm :premises (t89.t2.a37))
% 2.25/2.41  (step t89.t2.t248 (cl (= (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule symm :premises (t89.t2.a36))
% 2.25/2.41  (step t89.t2.t249 (cl (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule symm :premises (t89.t2.t248))
% 2.25/2.41  (step t89.t2.t250 (cl (= (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t89.t2.a35))
% 2.25/2.41  (step t89.t2.t251 (cl (= (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) 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 (t89.t2.t250 t89.t2.t65))
% 2.25/2.41  (step t89.t2.t252 (cl (= (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) 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 (t89.t2.t251 t89.t2.t220))
% 2.25/2.41  (step t89.t2.t253 (cl (= (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) :rule cong :premises (t89.t2.t252 t89.t2.t15))
% 2.25/2.41  (step t89.t2.t254 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) :rule trans :premises (t89.t2.t236 t89.t2.t233 t89.t2.t125 t89.t2.t246 t89.t2.t247 t89.t2.t249 t89.t2.t253))
% 2.25/2.41  (step t89.t2.t255 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule cong :premises (t89.t2.t220 t89.t2.t254))
% 2.25/2.41  (step t89.t2.t256 (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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 (t89.t2.a33))
% 2.25/2.41  (step t89.t2.t257 (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 (t89.t2.a32))
% 2.25/2.41  (step t89.t2.t258 (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.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t89.t2.t222 t89.t2.t240 t89.t2.t244 t89.t2.t245 t89.t2.t255 t89.t2.t256 t89.t2.t257))
% 2.25/2.41  (step t89.t2.t259 (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (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 cong :premises (t89.t2.t99 t89.t2.t258))
% 2.25/2.41  (step t89.t2.t260 (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)) false) (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 equiv_simplify)
% 2.25/2.41  (step t89.t2.t261 (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)) false) (not (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 equiv2 :premises (t89.t2.t260))
% 2.25/2.41  (step t89.t2.t262 (cl (not (not (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))))) (= (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 not_not)
% 2.25/2.41  (step t89.t2.t263 (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)) false) (= (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 (t89.t2.t261 t89.t2.t262))
% 2.25/2.41  (step t89.t2.t264 (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)) false)) :rule resolution :premises (t89.t2.t263 t89.t2.a0))
% 2.25/2.41  (step t89.t2.t265 (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) false)) :rule trans :premises (t89.t2.t259 t89.t2.t264))
% 2.25/2.41  (step t89.t2.t266 (cl (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t89.t2.t2 t89.t2.t265))
% 2.25/2.41  (step t89.t2 (cl (not (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)))) (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.meet (tptp.meet 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.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a 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.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.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))) (not (= (tptp.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.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)))))) (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.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.z2 tptp.z3) (tptp.meet 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.z2 (tptp.meet 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)))) (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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join 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.meet 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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2 (tptp.join tptp.z2 tptp.z3)) (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)))) (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.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.z3 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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.meet tptp.a tptp.z1) (tptp.meet tptp.a 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.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (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.z2)))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.z2 (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.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))) (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.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (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.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule subproof :discharge (t89.t2.a0 t89.t2.a1 t89.t2.a2 t89.t2.a3 t89.t2.a4 t89.t2.a5 t89.t2.a6 t89.t2.a7 t89.t2.a8 t89.t2.a9 t89.t2.a10 t89.t2.a11 t89.t2.a12 t89.t2.a13 t89.t2.a14 t89.t2.a15 t89.t2.a16 t89.t2.a17 t89.t2.a18 t89.t2.a19 t89.t2.a20 t89.t2.a21 t89.t2.a22 t89.t2.a23 t89.t2.a24 t89.t2.a25 t89.t2.a26 t89.t2.a27 t89.t2.a28 t89.t2.a29 t89.t2.a30 t89.t2.a31 t89.t2.a32 t89.t2.a33 t89.t2.a34 t89.t2.a35 t89.t2.a36 t89.t2.a37 t89.t2.a38 t89.t2.a39 t89.t2.a40 t89.t2.a41 t89.t2.a42 t89.t2.a43 t89.t2.a44 t89.t2.a45 t89.t2.a46 t89.t2.a47 t89.t2.a48 t89.t2.a49 t89.t2.a50 t89.t2.a51 t89.t2.a52 t89.t2.a53 t89.t2.a54 t89.t2.a55 t89.t2.a56 t89.t2.a57 t89.t2.a58 t89.t2.a59 t89.t2.a60 t89.t2.a61 t89.t2.a62 t89.t2.a63 t89.t2.a64 t89.t2.a65 t89.t2.a66 t89.t2.a67 t89.t2.a68 t89.t2.a69 t89.t2.a70 t89.t2.a71 t89.t2.a72 t89.t2.a73))
% 2.25/2.41  (step t89.t3 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule and_pos)
% 2.25/2.41  (step t89.t4 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.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)
% 2.25/2.41  (step t89.t5 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t6 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t7 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.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)
% 2.25/2.41  (step t89.t8 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t9 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t10 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t11 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t12 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t13 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t14 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))) :rule and_pos)
% 2.25/2.41  (step t89.t15 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 and_pos)
% 2.25/2.41  (step t89.t16 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 and_pos)
% 2.25/2.41  (step t89.t17 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.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 and_pos)
% 2.25/2.41  (step t89.t18 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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)
% 2.25/2.41  (step t89.t19 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t20 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t21 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t22 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.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)
% 2.25/2.41  (step t89.t23 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t24 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t25 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t26 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t27 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t28 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t29 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join 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 and_pos)
% 2.25/2.41  (step t89.t30 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t31 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t32 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t33 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t34 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t35 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t36 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule and_pos)
% 2.25/2.41  (step t89.t37 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.41  (step t89.t38 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.z3 (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 2.25/2.41  (step t89.t39 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule and_pos)
% 2.25/2.42  (step t89.t40 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule and_pos)
% 2.25/2.42  (step t89.t41 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule and_pos)
% 2.25/2.42  (step t89.t42 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t43 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t44 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t45 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 2.25/2.42  (step t89.t46 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 2.25/2.42  (step t89.t47 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t48 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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)
% 2.25/2.42  (step t89.t49 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t50 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t51 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule and_pos)
% 2.25/2.42  (step t89.t52 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t53 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t54 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t55 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t56 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t57 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t58 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t59 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t60 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t61 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t62 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t63 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t64 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t65 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t66 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t67 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t68 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t69 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t70 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t71 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t72 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t73 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.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)
% 2.25/2.42  (step t89.t74 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.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)
% 2.25/2.42  (step t89.t75 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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)
% 2.25/2.42  (step t89.t76 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 2.25/2.42  (step t89.t77 (cl (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule resolution :premises (t89.t2 t89.t3 t89.t4 t89.t5 t89.t6 t89.t7 t89.t8 t89.t9 t89.t10 t89.t11 t89.t12 t89.t13 t89.t14 t89.t15 t89.t16 t89.t17 t89.t18 t89.t19 t89.t20 t89.t21 t89.t22 t89.t23 t89.t24 t89.t25 t89.t26 t89.t27 t89.t28 t89.t29 t89.t30 t89.t31 t89.t32 t89.t33 t89.t34 t89.t35 t89.t36 t89.t37 t89.t38 t89.t39 t89.t40 t89.t41 t89.t42 t89.t43 t89.t44 t89.t45 t89.t46 t89.t47 t89.t48 t89.t49 t89.t50 t89.t51 t89.t52 t89.t53 t89.t54 t89.t55 t89.t56 t89.t57 t89.t58 t89.t59 t89.t60 t89.t61 t89.t62 t89.t63 t89.t64 t89.t65 t89.t66 t89.t67 t89.t68 t89.t69 t89.t70 t89.t71 t89.t72 t89.t73 t89.t74 t89.t75 t89.t76))
% 2.25/2.43  (step t89.t78 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule reordering :premises (t89.t77))
% 2.25/2.44  (step t89.t79 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule contraction :premises (t89.t78))
% 2.25/2.44  (step t89.t80 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t89.t1 t89.t79))
% 2.25/2.44  (step t89.t81 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule implies_neg2)
% 2.25/2.44  (step t89.t82 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule resolution :premises (t89.t80 t89.t81))
% 2.25/2.44  (step t89.t83 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule contraction :premises (t89.t82))
% 2.25/2.44  (step t89.t84 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule implies :premises (t89.t83))
% 2.25/2.44  (step t89.t85 (cl (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (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)))) (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.meet (tptp.meet 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.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a 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.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.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))) (not (= (tptp.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.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)))))) (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.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.z2 tptp.z3) (tptp.meet 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.z2 (tptp.meet 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)))) (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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join 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.meet 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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.z2 (tptp.join tptp.z2 tptp.z3)) (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)))) (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.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.z3 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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.meet tptp.a tptp.z1) (tptp.meet tptp.a 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.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (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.z2)))) (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 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(tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.z2 (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.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))) (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.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (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.join tptp.z2 tptp.z3) (tptp.meet (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 and_neg)
% 2.25/2.44  (step t89.t86 (cl (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) 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)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.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) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3)) (= (tptp.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.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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (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)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= tptp.z2 (tptp.meet 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))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.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.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.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.z2 (tptp.join tptp.z2 tptp.z3)) (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))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.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)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.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.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)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t89.t85 t89.a0 t89.a1 t89.a9 t89.a63 t89.a19 t89.a48 t89.a17 t89.a32 t89.a3 t89.a8 t89.a28 t89.a65 t89.a43 t89.a55 t89.a16 t89.a54 t89.a10 t89.a14 t89.a35 t89.a46 t89.a11 t89.a4 t89.a18 t89.a27 t89.a25 t89.a34 t89.a44 t89.a57 t89.a7 t89.a49 t89.a31 t89.a5 t89.a2 t89.a73 t89.a13 t89.a6 t89.a72 t89.a62 t89.a38 t89.a12 t89.a42 t89.a15 t89.a52 t89.a50 t89.a20 t89.a51 t89.a39 t89.a53 t89.a69 t89.a21 t89.a33 t89.a41 t89.a58 t89.a68 t89.a64 t89.a40 t89.a67 t89.a71 t89.a22 t89.a26 t89.a23 t89.a36 t89.a30 t89.a29 t89.a24 t89.a60 t89.a37 t89.a61 t89.a66 t89.a59 t89.a47 t89.a45 t89.a70 t89.a56))
% 2.25/2.44  (step t89.t87 (cl (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t89.t84 t89.t86))
% 2.25/2.44  (step t89 (cl (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule subproof :discharge (t89.a0 t89.a1 t89.a2 t89.a3 t89.a4 t89.a5 t89.a6 t89.a7 t89.a8 t89.a9 t89.a10 t89.a11 t89.a12 t89.a13 t89.a14 t89.a15 t89.a16 t89.a17 t89.a18 t89.a19 t89.a20 t89.a21 t89.a22 t89.a23 t89.a24 t89.a25 t89.a26 t89.a27 t89.a28 t89.a29 t89.a30 t89.a31 t89.a32 t89.a33 t89.a34 t89.a35 t89.a36 t89.a37 t89.a38 t89.a39 t89.a40 t89.a41 t89.a42 t89.a43 t89.a44 t89.a45 t89.a46 t89.a47 t89.a48 t89.a49 t89.a50 t89.a51 t89.a52 t89.a53 t89.a54 t89.a55 t89.a56 t89.a57 t89.a58 t89.a59 t89.a60 t89.a61 t89.a62 t89.a63 t89.a64 t89.a65 t89.a66 t89.a67 t89.a68 t89.a69 t89.a70 t89.a71 t89.a72 t89.a73))
% 2.25/2.44  (step t90 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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 and_pos)
% 2.25/2.44  (step t91 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t92 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 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)
% 2.25/2.44  (step t93 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (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)
% 2.25/2.44  (step t94 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule and_pos)
% 2.25/2.44  (step t95 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t96 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 2.25/2.44  (step t97 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet 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)
% 2.25/2.44  (step t98 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (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)
% 2.25/2.44  (step t99 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet 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)
% 2.25/2.44  (step t100 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule and_pos)
% 2.25/2.44  (step t101 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)
% 2.25/2.44  (step t102 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.meet (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)
% 2.25/2.44  (step t103 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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)
% 2.25/2.44  (step t104 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 2.25/2.44  (step t105 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.a 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)
% 2.25/2.44  (step t106 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 and_pos)
% 2.25/2.44  (step t107 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule and_pos)
% 2.25/2.44  (step t108 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 2.25/2.44  (step t109 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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)
% 2.25/2.44  (step t110 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) 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)
% 2.25/2.44  (step t111 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (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)
% 2.25/2.44  (step t112 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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)
% 2.25/2.44  (step t113 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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)
% 2.25/2.44  (step t114 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.z2 (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)
% 2.25/2.44  (step t115 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.join 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)
% 2.25/2.44  (step t116 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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)
% 2.25/2.44  (step t117 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.z3 (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)
% 2.25/2.44  (step t118 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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)
% 2.25/2.44  (step t119 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.z2 (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)
% 2.25/2.44  (step t120 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet 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)
% 2.25/2.44  (step t121 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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)
% 2.25/2.44  (step t122 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t123 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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)
% 2.25/2.44  (step t124 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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)
% 2.25/2.44  (step t125 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join tptp.z3 (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)
% 2.25/2.44  (step t126 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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)
% 2.25/2.44  (step t127 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t128 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule and_pos)
% 2.25/2.44  (step t129 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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)
% 2.25/2.44  (step t130 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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)
% 2.25/2.44  (step t131 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t132 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t133 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.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.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 and_pos)
% 2.25/2.44  (step t134 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join 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 and_pos)
% 2.25/2.44  (step t135 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet 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)
% 2.25/2.44  (step t136 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)
% 2.25/2.44  (step t137 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 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)
% 2.25/2.44  (step t138 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a 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)
% 2.25/2.44  (step t139 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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)
% 2.25/2.44  (step t140 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 2.25/2.44  (step t141 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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)
% 2.25/2.44  (step t142 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 2.25/2.44  (step t143 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t144 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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)
% 2.25/2.44  (step t145 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 and_pos)
% 2.25/2.44  (step t146 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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 and_pos)
% 2.25/2.44  (step t147 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 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)
% 2.25/2.44  (step t148 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t149 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.44  (step t150 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet 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)
% 2.25/2.44  (step t151 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.join 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)
% 2.25/2.44  (step t152 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule and_pos)
% 2.25/2.45  (step t153 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 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)
% 2.25/2.45  (step t154 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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)
% 2.25/2.45  (step t155 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))) :rule and_pos)
% 2.25/2.45  (step t156 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.45  (step t157 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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)
% 2.25/2.45  (step t158 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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)
% 2.25/2.45  (step t159 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule and_pos)
% 2.25/2.45  (step t160 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (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)
% 2.25/2.45  (step t161 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (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)
% 2.25/2.45  (step t162 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule and_pos)
% 2.25/2.45  (step t163 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule and_pos)
% 2.25/2.45  (step t164 (cl (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))))) :rule resolution :premises (t89 t90 t91 t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t103 t104 t105 t106 t107 t108 t109 t110 t111 t112 t113 t114 t115 t116 t117 t118 t119 t120 t121 t122 t123 t124 t125 t126 t127 t128 t129 t130 t131 t132 t133 t134 t135 t136 t137 t138 t139 t140 t141 t142 t143 t144 t145 t146 t147 t148 t149 t150 t151 t152 t153 t154 t155 t156 t157 t158 t159 t160 t161 t162 t163))
% 2.25/2.45  (step t165 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule reordering :premises (t164))
% 2.25/2.46  (step t166 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule contraction :premises (t165))
% 2.25/2.46  (step t167 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t88 t166))
% 2.25/2.46  (step t168 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule implies_neg2)
% 2.25/2.46  (step t169 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule resolution :premises (t167 t168))
% 2.25/2.46  (step t170 (cl (=> (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule contraction :premises (t169))
% 2.25/2.46  (step t171 (cl (not (and (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))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet 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))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.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.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.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (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.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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))) (= (tptp.meet (tptp.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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.z2 tptp.z3) (tptp.meet (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)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) 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))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) 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))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.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)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 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)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule implies :premises (t170))
% 2.25/2.46  (step t172 (cl (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t87 t171))
% 2.25/2.46  (step t173 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (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 or_neg)
% 2.25/2.46  (step t174 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.46  (step t175 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.46  (step t176 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.46  (step t177 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))))) :rule or_neg)
% 2.25/2.46  (step t178 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))))) :rule or_neg)
% 2.25/2.46  (step t179 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule or_neg)
% 2.25/2.46  (step t180 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t181 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t182 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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))))))) :rule or_neg)
% 2.25/2.47  (step t183 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))) :rule or_neg)
% 2.25/2.47  (step t184 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t185 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t186 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t187 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))))) :rule or_neg)
% 2.25/2.47  (step t188 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t189 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 or_neg)
% 2.25/2.47  (step t190 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))))) :rule or_neg)
% 2.25/2.47  (step t191 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))))) :rule or_neg)
% 2.25/2.47  (step t192 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t193 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t194 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t195 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t196 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t197 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t198 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t199 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t200 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t201 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t202 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t203 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t204 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t205 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t206 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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))))))) :rule or_neg)
% 2.25/2.47  (step t207 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t208 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t209 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t210 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule or_neg)
% 2.25/2.47  (step t211 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))))) :rule or_neg)
% 2.25/2.47  (step t212 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t213 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t214 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule or_neg)
% 2.25/2.47  (step t215 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t216 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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(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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.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.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 or_neg)
% 2.25/2.47  (step t217 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join 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 or_neg)
% 2.25/2.47  (step t218 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t219 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t220 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t221 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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)))))) :rule or_neg)
% 2.25/2.47  (step t222 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t223 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))))) :rule or_neg)
% 2.25/2.47  (step t224 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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_neg)
% 2.25/2.47  (step t225 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))))) :rule or_neg)
% 2.25/2.47  (step t226 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t227 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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_neg)
% 2.25/2.47  (step t228 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 or_neg)
% 2.25/2.47  (step t229 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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 or_neg)
% 2.25/2.47  (step t230 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t231 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t232 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t233 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t234 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t235 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule or_neg)
% 2.25/2.47  (step t236 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t237 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t238 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))))) :rule or_neg)
% 2.25/2.47  (step t239 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t240 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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)))))))) :rule or_neg)
% 2.25/2.47  (step t241 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t242 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))))) :rule or_neg)
% 2.25/2.47  (step t243 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t244 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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 or_neg)
% 2.25/2.47  (step t245 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))))) :rule or_neg)
% 2.25/2.47  (step t246 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))))) :rule or_neg)
% 2.25/2.47  (step t247 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule or_neg)
% 2.25/2.47  (step t248 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme 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tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme 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tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme 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tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme 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tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme 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tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme 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tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme 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tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme 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tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule resolution :premises (t172 t173 t174 t175 t176 t177 t178 t179 t180 t181 t182 t183 t184 t185 t186 t187 t188 t189 t190 t191 t192 t193 t194 t195 t196 t197 t198 t199 t200 t201 t202 t203 t204 t205 t206 t207 t208 t209 t210 t211 t212 t213 t214 t215 t216 t217 t218 t219 t220 t221 t222 t223 t224 t225 t226 t227 t228 t229 t230 t231 t232 t233 t234 t235 t236 t237 t238 t239 t240 t241 t242 t243 t244 t245 t246 t247))
% 2.25/2.48  (step t249 (cl (or (not (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)))) (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule contraction :premises (t248))
% 2.25/2.48  (step t250 (cl (or (= (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))) :rule resolution :premises (t1 t86 t249))
% 2.25/2.48  (step t251 (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.z3) (tptp.meet 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)))) (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.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.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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))))) (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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 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.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.z2 (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.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (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.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.z3 (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.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (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.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.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.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)))))) (not (= (tptp.upme (tptp.meet tptp.a 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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet 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.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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.z2 tptp.z3) (tptp.join tptp.z2 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.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (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.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (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)))) (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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))) (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.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (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.join 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (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.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) 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.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join 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.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) 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.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) 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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule or :premises (t250))
% 2.25/2.48  (step t252 (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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t253)
% 2.25/2.48  (assume t253.a0 (forall ((X1 $$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)))))
% 2.25/2.48  (step t253.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule forall_inst :args ((:= X1 (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (:= Y1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= W tptp.z3)))
% 2.25/2.48  (step t253.t2 (cl (not (forall ((X1 $$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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule or :premises (t253.t1))
% 2.25/2.48  (step t253.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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t253.t2 t253.a0))
% 2.25/2.48  (step t253 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule subproof :discharge (t253.a0))
% 2.25/2.48  (step t254 (cl (=> (forall ((X1 $$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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t252 t253))
% 2.25/2.48  (step t255 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule implies_neg2)
% 2.25/2.48  (step t256 (cl (=> (forall ((X1 $$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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t254 t255))
% 2.25/2.48  (step t257 (cl (=> (forall ((X1 $$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.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule contraction :premises (t256))
% 2.25/2.48  (step t258 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule implies :premises (t257))
% 2.25/2.48  (step t259 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t258 a8))
% 2.25/2.48  (step t260 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t261)
% 2.25/2.48  (assume t261.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.48  (step t261.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y tptp.z3)))
% 2.25/2.48  (step t261.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule or :premises (t261.t1))
% 2.25/2.48  (step t261.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule resolution :premises (t261.t2 t261.a0))
% 2.25/2.48  (step t261 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule subproof :discharge (t261.a0))
% 2.25/2.48  (step t262 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule resolution :premises (t260 t261))
% 2.25/2.48  (step t263 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) :rule implies_neg2)
% 2.25/2.48  (step t264 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) :rule resolution :premises (t262 t263))
% 2.25/2.48  (step t265 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3))))) :rule contraction :premises (t264))
% 2.25/2.48  (step t266 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule implies :premises (t265))
% 2.25/2.48  (step t267 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule equiv_pos2)
% 2.25/2.48  (anchor :step t268 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 2.25/2.48  (step t268.t1 (cl (= X X)) :rule refl)
% 2.25/2.48  (step t268.t2 (cl (= Y Y)) :rule refl)
% 2.25/2.48  (step t268.t3 (cl (= (= (tptp.meet X (tptp.join X Y)) X) (= X (tptp.meet X (tptp.join X Y))))) :rule all_simplify)
% 2.25/2.48  (step t268 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) :rule bind)
% 2.25/2.48  (step t269 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule resolution :premises (t267 t268 a5))
% 2.25/2.48  (step t270 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z3)))) :rule resolution :premises (t266 t269))
% 2.25/2.48  (step t271 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t272)
% 2.25/2.48  (assume t272.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.25/2.48  (step t272.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)))) :rule forall_inst :args ((:= X tptp.z3) (:= Y (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 2.25/2.48  (step t272.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule or :premises (t272.t1))
% 2.25/2.48  (step t272.t3 (cl (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule resolution :premises (t272.t2 t272.a0))
% 2.25/2.48  (step t272 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule subproof :discharge (t272.a0))
% 2.25/2.48  (step t273 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule resolution :premises (t271 t272))
% 2.25/2.48  (step t274 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)))) :rule implies_neg2)
% 2.25/2.48  (step t275 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)))) :rule resolution :premises (t273 t274))
% 2.25/2.48  (step t276 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3)))) :rule contraction :premises (t275))
% 2.25/2.48  (step t277 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule implies :premises (t276))
% 2.25/2.48  (step t278 (cl (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))) :rule resolution :premises (t277 a2))
% 2.25/2.48  (step t279 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t280)
% 2.25/2.48  (assume t280.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t280.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z tptp.z3)))
% 2.25/2.48  (step t280.t2 (cl (not (forall ((X $$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 (t280.t1))
% 2.25/2.48  (step t280.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 (t280.t2 t280.a0))
% 2.25/2.48  (step t280 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule subproof :discharge (t280.a0))
% 2.25/2.48  (step t281 (cl (=> (forall ((X $$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 (t279 t280))
% 2.25/2.48  (step t282 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule implies_neg2)
% 2.25/2.48  (step t283 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t281 t282))
% 2.25/2.48  (step t284 (cl (=> (forall ((X $$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 (t283))
% 2.25/2.48  (step t285 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule implies :premises (t284))
% 2.25/2.48  (step t286 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t285 a1))
% 2.25/2.48  (step t287 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t288)
% 2.25/2.48  (assume t288.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t288.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z tptp.z3)))
% 2.25/2.48  (step t288.t2 (cl (not (forall ((X $$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 (t288.t1))
% 2.25/2.48  (step t288.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 (t288.t2 t288.a0))
% 2.25/2.48  (step t288 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule subproof :discharge (t288.a0))
% 2.25/2.48  (step t289 (cl (=> (forall ((X $$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 (t287 t288))
% 2.25/2.48  (step t290 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule implies_neg2)
% 2.25/2.48  (step t291 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule resolution :premises (t289 t290))
% 2.25/2.48  (step t292 (cl (=> (forall ((X $$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 (t291))
% 2.25/2.48  (step t293 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule implies :premises (t292))
% 2.25/2.48  (step t294 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t293 a1))
% 2.25/2.48  (step t295 (cl (=> (forall ((X $$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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t296)
% 2.25/2.48  (assume t296.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t296.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule forall_inst :args ((:= X (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z tptp.z2)))
% 2.25/2.48  (step t296.t2 (cl (not (forall ((X $$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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule or :premises (t296.t1))
% 2.25/2.48  (step t296.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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule resolution :premises (t296.t2 t296.a0))
% 2.25/2.48  (step t296 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule subproof :discharge (t296.a0))
% 2.25/2.48  (step t297 (cl (=> (forall ((X $$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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule resolution :premises (t295 t296))
% 2.25/2.48  (step t298 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule implies_neg2)
% 2.25/2.48  (step t299 (cl (=> (forall ((X $$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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule resolution :premises (t297 t298))
% 2.25/2.48  (step t300 (cl (=> (forall ((X $$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.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule contraction :premises (t299))
% 2.25/2.48  (step t301 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule implies :premises (t300))
% 2.25/2.48  (step t302 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule resolution :premises (t301 a1))
% 2.25/2.48  (step t303 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t304)
% 2.25/2.48  (assume t304.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t304.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z3) (:= Z (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 2.25/2.48  (step t304.t2 (cl (not (forall ((X $$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 (t304.t1))
% 2.25/2.48  (step t304.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 (t304.t2 t304.a0))
% 2.25/2.48  (step t304 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule subproof :discharge (t304.a0))
% 2.25/2.48  (step t305 (cl (=> (forall ((X $$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 (t303 t304))
% 2.25/2.48  (step t306 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule implies_neg2)
% 2.25/2.48  (step t307 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t305 t306))
% 2.25/2.48  (step t308 (cl (=> (forall ((X $$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 (t307))
% 2.25/2.48  (step t309 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies :premises (t308))
% 2.25/2.48  (step t310 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t309 a1))
% 2.25/2.48  (step t311 (cl (not (= (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule equiv_pos2)
% 2.25/2.48  (step t312 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) :rule refl)
% 2.25/2.48  (step t313 (cl (= (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule all_simplify)
% 2.25/2.48  (step t314 (cl (= (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))))) :rule cong :premises (t312 t313))
% 2.25/2.48  (step t315 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t316)
% 2.25/2.48  (assume t316.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.48  (step t316.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (:= Y (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 2.25/2.48  (step t316.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule or :premises (t316.t1))
% 2.25/2.48  (step t316.t3 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t316.t2 t316.a0))
% 2.25/2.48  (step t316 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule subproof :discharge (t316.a0))
% 2.25/2.48  (step t317 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t315 t316))
% 2.25/2.48  (step t318 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies_neg2)
% 2.25/2.48  (step t319 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t317 t318))
% 2.25/2.48  (step t320 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule contraction :premises (t319))
% 2.25/2.48  (step t321 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule resolution :premises (t311 t314 t320))
% 2.25/2.48  (step t322 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies :premises (t321))
% 2.25/2.48  (step t323 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t322 a0))
% 2.25/2.48  (step t324 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t325)
% 2.25/2.48  (assume t325.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.48  (step t325.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))))
% 2.25/2.48  (step t325.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t325.t1))
% 2.25/2.48  (step t325.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t325.t2 t325.a0))
% 2.25/2.48  (step t325 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t325.a0))
% 2.25/2.48  (step t326 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t324 t325))
% 2.25/2.48  (step t327 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 2.25/2.48  (step t328 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t326 t327))
% 2.25/2.48  (step t329 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t328))
% 2.25/2.48  (step t330 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t329))
% 2.25/2.48  (step t331 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t330 a0))
% 2.25/2.48  (step t332 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule equiv_pos2)
% 2.25/2.48  (step t333 (cl (= (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))) :rule refl)
% 2.25/2.48  (step t334 (cl (= (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule all_simplify)
% 2.25/2.48  (step t335 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule cong :premises (t333 t334))
% 2.25/2.48  (step t336 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t337)
% 2.25/2.48  (assume t337.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 2.25/2.48  (step t337.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (:= Z tptp.z3)))
% 2.25/2.48  (step t337.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t337.t1))
% 2.25/2.48  (step t337.t3 (cl (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t337.t2 t337.a0))
% 2.25/2.48  (step t337 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule subproof :discharge (t337.a0))
% 2.25/2.48  (step t338 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t336 t337))
% 2.25/2.48  (step t339 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule implies_neg2)
% 2.25/2.48  (step t340 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule resolution :premises (t338 t339))
% 2.25/2.48  (step t341 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t340))
% 2.25/2.48  (step t342 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.upme (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t332 t335 t341))
% 2.25/2.48  (step t343 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))) :rule implies :premises (t342))
% 2.25/2.48  (step t344 (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.upme (tptp.meet tptp.a tptp.z1) 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.z1) tptp.z2) tptp.z3))) :rule resolution :premises (t343 a6))
% 2.25/2.48  (step t345 (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)
% 2.25/2.48  (anchor :step t346)
% 2.25/2.48  (assume t346.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.48  (step t346.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))))))
% 2.25/2.48  (step t346.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 (t346.t1))
% 2.25/2.48  (step t346.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 (t346.t2 t346.a0))
% 2.25/2.48  (step t346 (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 (t346.a0))
% 2.25/2.48  (step t347 (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 (t345 t346))
% 2.25/2.48  (step t348 (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)
% 2.25/2.48  (step t349 (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 (t347 t348))
% 2.25/2.48  (step t350 (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 (t349))
% 2.25/2.48  (step t351 (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 (t350))
% 2.25/2.48  (step t352 (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 (t351 t269))
% 2.25/2.48  (step t353 (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)
% 2.25/2.48  (anchor :step t354)
% 2.25/2.48  (assume t354.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 2.25/2.48  (step t354.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))))
% 2.25/2.48  (step t354.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 (t354.t1))
% 2.25/2.48  (step t354.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 (t354.t2 t354.a0))
% 2.25/2.48  (step t354 (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 (t354.a0))
% 2.25/2.48  (step t355 (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 (t353 t354))
% 2.25/2.48  (step t356 (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)
% 2.25/2.48  (step t357 (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 (t355 t356))
% 2.25/2.48  (step t358 (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 (t357))
% 2.25/2.48  (step t359 (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 (t358))
% 2.25/2.48  (step t360 (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)
% 2.25/2.48  (anchor :step t361 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 2.25/2.48  (step t361.t1 (cl (= X X)) :rule refl)
% 2.25/2.48  (step t361.t2 (cl (= Y Y)) :rule refl)
% 2.25/2.48  (step t361.t3 (cl (= (= (tptp.join X (tptp.meet X Y)) X) (= X (tptp.join X (tptp.meet X Y))))) :rule all_simplify)
% 2.25/2.48  (step t361 (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)
% 2.25/2.48  (step t362 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule resolution :premises (t360 t361 a4))
% 2.25/2.48  (step t363 (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 (t359 t362))
% 2.25/2.48  (step t364 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t365)
% 2.25/2.48  (assume t365.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 2.25/2.48  (step t365.t1 (cl (or (not (forall ((X $$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.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule forall_inst :args ((:= X tptp.z3) (:= Y (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (:= Z (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 2.25/2.48  (step t365.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule or :premises (t365.t1))
% 2.25/2.48  (step t365.t3 (cl (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t365.t2 t365.a0))
% 2.25/2.48  (step t365 (cl (not (forall ((X $$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.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule subproof :discharge (t365.a0))
% 2.25/2.48  (step t366 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t364 t365))
% 2.25/2.48  (step t367 (cl (=> (forall ((X $$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.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule implies_neg2)
% 2.25/2.48  (step t368 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t366 t367))
% 2.25/2.48  (step t369 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule contraction :premises (t368))
% 2.25/2.48  (step t370 (cl (not (forall ((X $$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.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule implies :premises (t369))
% 2.25/2.48  (step t371 (cl (= (tptp.join tptp.z3 (tptp.join (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule resolution :premises (t370 a3))
% 2.25/2.48  (step t372 (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)
% 2.25/2.48  (anchor :step t373)
% 2.25/2.48  (assume t373.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.25/2.48  (step t373.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))))
% 2.25/2.48  (step t373.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 (t373.t1))
% 2.25/2.48  (step t373.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 (t373.t2 t373.a0))
% 2.25/2.48  (step t373 (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 (t373.a0))
% 2.25/2.48  (step t374 (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 (t372 t373))
% 2.25/2.48  (step t375 (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)
% 2.25/2.48  (step t376 (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 (t374 t375))
% 2.25/2.48  (step t377 (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 (t376))
% 2.25/2.48  (step t378 (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 (t377))
% 2.25/2.48  (step t379 (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 (t378 a2))
% 2.25/2.48  (step t380 (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)
% 2.25/2.48  (anchor :step t381)
% 2.25/2.48  (assume t381.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.25/2.48  (step t381.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)))))
% 2.25/2.48  (step t381.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 (t381.t1))
% 2.25/2.48  (step t381.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 (t381.t2 t381.a0))
% 2.25/2.48  (step t381 (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 (t381.a0))
% 2.25/2.48  (step t382 (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 (t380 t381))
% 2.25/2.48  (step t383 (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)
% 2.25/2.48  (step t384 (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 (t382 t383))
% 2.25/2.48  (step t385 (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 (t384))
% 2.25/2.48  (step t386 (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 (t385))
% 2.25/2.48  (step t387 (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 (t386 a2))
% 2.25/2.48  (step t388 (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)
% 2.25/2.48  (anchor :step t389)
% 2.25/2.48  (assume t389.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t389.t1 (cl (or (not (forall ((X $$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))))))
% 2.25/2.48  (step t389.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule or :premises (t389.t1))
% 2.25/2.48  (step t389.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t389.t2 t389.a0))
% 2.25/2.48  (step t389 (cl (not (forall ((X $$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 (t389.a0))
% 2.25/2.48  (step t390 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t388 t389))
% 2.25/2.48  (step t391 (cl (=> (forall ((X $$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)
% 2.25/2.48  (step t392 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (=> (forall ((X $$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 (t390 t391))
% 2.25/2.48  (step t393 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule contraction :premises (t392))
% 2.25/2.48  (step t394 (cl (not (forall ((X $$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 (t393))
% 2.25/2.48  (step t395 (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 (t394 a1))
% 2.25/2.48  (step t396 (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)
% 2.25/2.48  (anchor :step t397)
% 2.25/2.48  (assume t397.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t397.t1 (cl (or (not (forall ((X $$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))))
% 2.25/2.48  (step t397.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t397.t1))
% 2.25/2.48  (step t397.t3 (cl (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t397.t2 t397.a0))
% 2.25/2.48  (step t397 (cl (not (forall ((X $$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 (t397.a0))
% 2.25/2.48  (step t398 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t396 t397))
% 2.25/2.48  (step t399 (cl (=> (forall ((X $$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)
% 2.25/2.48  (step t400 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$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 (t398 t399))
% 2.25/2.48  (step t401 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t400))
% 2.25/2.48  (step t402 (cl (not (forall ((X $$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 (t401))
% 2.25/2.48  (step t403 (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 (t402 a1))
% 2.25/2.48  (step t404 (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)
% 2.25/2.48  (anchor :step t405)
% 2.25/2.48  (assume t405.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t405.t1 (cl (or (not (forall ((X $$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)))
% 2.25/2.48  (step t405.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule or :premises (t405.t1))
% 2.25/2.48  (step t405.t3 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule resolution :premises (t405.t2 t405.a0))
% 2.25/2.48  (step t405 (cl (not (forall ((X $$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 (t405.a0))
% 2.25/2.48  (step t406 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule resolution :premises (t404 t405))
% 2.25/2.48  (step t407 (cl (=> (forall ((X $$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)
% 2.25/2.48  (step t408 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (=> (forall ((X $$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 (t406 t407))
% 2.25/2.48  (step t409 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))) :rule contraction :premises (t408))
% 2.25/2.48  (step t410 (cl (not (forall ((X $$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 (t409))
% 2.25/2.48  (step t411 (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 (t410 a1))
% 2.25/2.48  (step t412 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t413)
% 2.25/2.48  (assume t413.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t413.t1 (cl (or (not (forall ((X $$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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.join tptp.z2 tptp.z3)) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z tptp.z3)))
% 2.25/2.48  (step t413.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule or :premises (t413.t1))
% 2.25/2.48  (step t413.t3 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t413.t2 t413.a0))
% 2.25/2.48  (step t413 (cl (not (forall ((X $$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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule subproof :discharge (t413.a0))
% 2.25/2.48  (step t414 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t412 t413))
% 2.25/2.48  (step t415 (cl (=> (forall ((X $$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.z3)) (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.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 implies_neg2)
% 2.25/2.48  (step t416 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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 resolution :premises (t414 t415))
% 2.25/2.48  (step t417 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule contraction :premises (t416))
% 2.25/2.48  (step t418 (cl (not (forall ((X $$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.z3)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule implies :premises (t417))
% 2.25/2.48  (step t419 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (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 resolution :premises (t418 a1))
% 2.25/2.48  (step t420 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t421)
% 2.25/2.48  (assume t421.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t421.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 forall_inst :args ((:= X (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (:= Z (tptp.join (tptp.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))))))
% 2.25/2.48  (step t421.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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 or :premises (t421.t1))
% 2.25/2.48  (step t421.t3 (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 resolution :premises (t421.t2 t421.a0))
% 2.25/2.48  (step t421 (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.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 subproof :discharge (t421.a0))
% 2.25/2.48  (step t422 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t420 t421))
% 2.25/2.48  (step t423 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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)))))) (not (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 implies_neg2)
% 2.25/2.48  (step t424 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 resolution :premises (t422 t423))
% 2.25/2.48  (step t425 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))))) :rule contraction :premises (t424))
% 2.25/2.48  (step t426 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 implies :premises (t425))
% 2.25/2.48  (step t427 (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.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.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 resolution :premises (t426 a1))
% 2.25/2.48  (step t428 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t429)
% 2.25/2.48  (assume t429.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t429.t1 (cl (or (not (forall ((X $$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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (:= Z (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.48  (step t429.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule or :premises (t429.t1))
% 2.25/2.48  (step t429.t3 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t429.t2 t429.a0))
% 2.25/2.48  (step t429 (cl (not (forall ((X $$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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t429.a0))
% 2.25/2.48  (step t430 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t428 t429))
% 2.25/2.48  (step t431 (cl (=> (forall ((X $$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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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.upme (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.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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)
% 2.25/2.48  (step t432 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t430 t431))
% 2.25/2.48  (step t433 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule contraction :premises (t432))
% 2.25/2.48  (step t434 (cl (not (forall ((X $$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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t433))
% 2.25/2.48  (step t435 (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.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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 (t434 a1))
% 2.25/2.48  (step t436 (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)
% 2.25/2.48  (anchor :step t437)
% 2.25/2.48  (assume t437.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t437.t1 (cl (or (not (forall ((X $$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))))
% 2.25/2.48  (step t437.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t437.t1))
% 2.25/2.48  (step t437.t3 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t437.t2 t437.a0))
% 2.25/2.48  (step t437 (cl (not (forall ((X $$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 (t437.a0))
% 2.25/2.48  (step t438 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t436 t437))
% 2.25/2.48  (step t439 (cl (=> (forall ((X $$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)
% 2.25/2.48  (step t440 (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 (t438 t439))
% 2.25/2.48  (step t441 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t440))
% 2.25/2.48  (step t442 (cl (not (forall ((X $$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 (t441))
% 2.25/2.48  (step t443 (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 (t442 a1))
% 2.25/2.48  (step t444 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t445)
% 2.25/2.48  (assume t445.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.48  (step t445.t1 (cl (or (not (forall ((X $$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.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X tptp.z2) (:= Y (tptp.meet tptp.a tptp.z1)) (:= Z (tptp.meet tptp.a tptp.z1))))
% 2.25/2.48  (step t445.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t445.t1))
% 2.25/2.48  (step t445.t3 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t445.t2 t445.a0))
% 2.25/2.48  (step t445 (cl (not (forall ((X $$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.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t445.a0))
% 2.25/2.48  (step t446 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t444 t445))
% 2.25/2.48  (step t447 (cl (=> (forall ((X $$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.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 2.25/2.48  (step t448 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t446 t447))
% 2.25/2.48  (step t449 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t448))
% 2.25/2.48  (step t450 (cl (not (forall ((X $$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.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t449))
% 2.25/2.48  (step t451 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t450 a1))
% 2.25/2.48  (step t452 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t453)
% 2.25/2.48  (assume t453.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.48  (step t453.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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3))))
% 2.25/2.48  (step t453.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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t453.t1))
% 2.25/2.48  (step t453.t3 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t453.t2 t453.a0))
% 2.25/2.48  (step t453 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t453.a0))
% 2.25/2.48  (step t454 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t452 t453))
% 2.25/2.48  (step t455 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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)
% 2.25/2.48  (step t456 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t454 t455))
% 2.25/2.48  (step t457 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t456))
% 2.25/2.48  (step t458 (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.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t457))
% 2.25/2.48  (step t459 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) 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 (t458 a0))
% 2.25/2.48  (step t460 (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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.48  (anchor :step t461)
% 2.25/2.48  (assume t461.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.48  (step t461.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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 2.25/2.48  (step t461.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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t461.t1))
% 2.25/2.48  (step t461.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t461.t2 t461.a0))
% 2.25/2.48  (step t461 (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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t461.a0))
% 2.25/2.48  (step t462 (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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t460 t461))
% 2.25/2.48  (step t463 (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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 2.25/2.48  (step t464 (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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) 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.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t462 t463))
% 2.25/2.48  (step t465 (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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t464))
% 2.25/2.48  (step t466 (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.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t465))
% 2.25/2.48  (step t467 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t466 a0))
% 2.25/2.48  (step t468 (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)
% 2.25/2.48  (anchor :step t469)
% 2.25/2.48  (assume t469.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.48  (step t469.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)))))
% 2.25/2.48  (step t469.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 (t469.t1))
% 2.25/2.48  (step t469.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 (t469.t2 t469.a0))
% 2.25/2.48  (step t469 (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 (t469.a0))
% 2.25/2.48  (step t470 (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 (t468 t469))
% 2.25/2.48  (step t471 (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)
% 2.25/2.48  (step t472 (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 (t470 t471))
% 2.25/2.49  (step t473 (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 (t472))
% 2.25/2.49  (step t474 (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 (t473))
% 2.25/2.49  (step t475 (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 (t474 a0))
% 2.25/2.49  (step t476 (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)
% 2.25/2.49  (step t477 (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)
% 2.25/2.49  (step t478 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (=> (forall ((X $$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 (t333 t477))
% 2.25/2.49  (step t479 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t480)
% 2.25/2.49  (assume t480.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 2.25/2.49  (step t480.t1 (cl (or (not (forall ((X $$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))))
% 2.25/2.49  (step t480.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t480.t1))
% 2.25/2.49  (step t480.t3 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t480.t2 t480.a0))
% 2.25/2.49  (step t480 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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 (t480.a0))
% 2.25/2.49  (step t481 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t479 t480))
% 2.25/2.49  (step t482 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.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)
% 2.25/2.49  (step t483 (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 (t481 t482))
% 2.25/2.49  (step t484 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t483))
% 2.25/2.49  (step t485 (cl (=> (forall ((X $$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 (t476 t478 t484))
% 2.25/2.49  (step t486 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule implies :premises (t485))
% 2.25/2.49  (step t487 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t486 a6))
% 2.25/2.49  (step t488 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t489)
% 2.25/2.49  (assume t489.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 2.25/2.49  (step t489.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet tptp.z2 tptp.z3)) (:= Z (tptp.join tptp.z2 tptp.z3))))
% 2.25/2.49  (step t489.t2 (cl (not (forall ((X $$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 (t489.t1))
% 2.25/2.49  (step t489.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 (t489.t2 t489.a0))
% 2.25/2.49  (step t489 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule subproof :discharge (t489.a0))
% 2.25/2.49  (step t490 (cl (=> (forall ((X $$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.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 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 (t488 t489))
% 2.25/2.49  (step t491 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 2.25/2.49  (step t492 (cl (=> (forall ((X $$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.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t490 t491))
% 2.25/2.49  (step t493 (cl (=> (forall ((X $$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.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 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 (t492))
% 2.25/2.49  (step t494 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t493))
% 2.25/2.49  (step t495 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t494 a6))
% 2.25/2.49  (step t496 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t497)
% 2.25/2.49  (assume t497.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 2.25/2.49  (step t497.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.join tptp.z2 tptp.z3)) (:= Z (tptp.meet tptp.z2 tptp.z3))))
% 2.25/2.49  (step t497.t2 (cl (not (forall ((X $$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 (t497.t1))
% 2.25/2.49  (step t497.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 (t497.t2 t497.a0))
% 2.25/2.49  (step t497 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t497.a0))
% 2.25/2.49  (step t498 (cl (=> (forall ((X $$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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.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 (t496 t497))
% 2.25/2.49  (step t499 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 2.25/2.49  (step t500 (cl (=> (forall ((X $$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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t498 t499))
% 2.25/2.49  (step t501 (cl (=> (forall ((X $$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.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 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 (t500))
% 2.25/2.49  (step t502 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t501))
% 2.25/2.49  (step t503 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t502 a6))
% 2.25/2.49  (step t504 (cl (=> (forall ((X $$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 $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t505)
% 2.25/2.49  (assume t505.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t505.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.49  (step t505.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule or :premises (t505.t1))
% 2.25/2.49  (step t505.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t505.t2 t505.a0))
% 2.25/2.49  (step t505 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule subproof :discharge (t505.a0))
% 2.25/2.49  (step t506 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t504 t505))
% 2.25/2.49  (step t507 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule implies_neg2)
% 2.25/2.49  (step t508 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t506 t507))
% 2.25/2.49  (step t509 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule contraction :premises (t508))
% 2.25/2.49  (step t510 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule implies :premises (t509))
% 2.25/2.49  (step t511 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t510 t269))
% 2.25/2.49  (step t512 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t513)
% 2.25/2.49  (assume t513.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t513.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.49  (step t513.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule or :premises (t513.t1))
% 2.25/2.49  (step t513.t3 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t513.t2 t513.a0))
% 2.25/2.49  (step t513 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule subproof :discharge (t513.a0))
% 2.25/2.49  (step t514 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t512 t513))
% 2.25/2.49  (step t515 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule implies_neg2)
% 2.25/2.49  (step t516 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule resolution :premises (t514 t515))
% 2.25/2.49  (step t517 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))) :rule contraction :premises (t516))
% 2.25/2.49  (step t518 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies :premises (t517))
% 2.25/2.49  (step t519 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t518 t269))
% 2.25/2.49  (step t520 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t521)
% 2.25/2.49  (assume t521.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t521.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (:= Y (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 2.25/2.49  (step t521.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule or :premises (t521.t1))
% 2.25/2.49  (step t521.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t521.t2 t521.a0))
% 2.25/2.49  (step t521 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule subproof :discharge (t521.a0))
% 2.25/2.49  (step t522 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t520 t521))
% 2.25/2.49  (step t523 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))))) :rule implies_neg2)
% 2.25/2.49  (step t524 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))))) :rule resolution :premises (t522 t523))
% 2.25/2.49  (step t525 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))))) :rule contraction :premises (t524))
% 2.25/2.49  (step t526 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule implies :premises (t525))
% 2.25/2.49  (step t527 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t526 t269))
% 2.25/2.49  (step t528 (cl (=> (forall ((X $$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 $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t529)
% 2.25/2.49  (assume t529.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t529.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.49  (step t529.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule or :premises (t529.t1))
% 2.25/2.49  (step t529.t3 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t529.t2 t529.a0))
% 2.25/2.49  (step t529 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule subproof :discharge (t529.a0))
% 2.25/2.49  (step t530 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t528 t529))
% 2.25/2.49  (step t531 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))) :rule implies_neg2)
% 2.25/2.49  (step t532 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t530 t531))
% 2.25/2.49  (step t533 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))) :rule contraction :premises (t532))
% 2.25/2.49  (step t534 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule implies :premises (t533))
% 2.25/2.49  (step t535 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t534 t269))
% 2.25/2.49  (step t536 (cl (=> (forall ((X $$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 $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t537)
% 2.25/2.49  (assume t537.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t537.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule forall_inst :args ((:= X tptp.z3) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 2.25/2.49  (step t537.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule or :premises (t537.t1))
% 2.25/2.49  (step t537.t3 (cl (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t537.t2 t537.a0))
% 2.25/2.49  (step t537 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule subproof :discharge (t537.a0))
% 2.25/2.49  (step t538 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t536 t537))
% 2.25/2.49  (step t539 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule implies_neg2)
% 2.25/2.49  (step t540 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule resolution :premises (t538 t539))
% 2.25/2.49  (step t541 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule contraction :premises (t540))
% 2.25/2.49  (step t542 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule implies :premises (t541))
% 2.25/2.49  (step t543 (cl (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule resolution :premises (t542 t269))
% 2.25/2.49  (step t544 (cl (=> (forall ((X $$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 $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t545)
% 2.25/2.49  (assume t545.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 2.25/2.49  (step t545.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 2.25/2.49  (step t545.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule or :premises (t545.t1))
% 2.25/2.49  (step t545.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t545.t2 t545.a0))
% 2.25/2.49  (step t545 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule subproof :discharge (t545.a0))
% 2.25/2.49  (step t546 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t544 t545))
% 2.25/2.49  (step t547 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule implies_neg2)
% 2.25/2.49  (step t548 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule resolution :premises (t546 t547))
% 2.25/2.49  (step t549 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule contraction :premises (t548))
% 2.25/2.49  (step t550 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule implies :premises (t549))
% 2.25/2.49  (step t551 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule resolution :premises (t550 t362))
% 2.25/2.49  (step t552 (cl (=> (forall ((X $$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 $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t553)
% 2.25/2.49  (assume t553.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 2.25/2.49  (step t553.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))
% 2.25/2.49  (step t553.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule or :premises (t553.t1))
% 2.25/2.49  (step t553.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t553.t2 t553.a0))
% 2.25/2.49  (step t553 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule subproof :discharge (t553.a0))
% 2.25/2.49  (step t554 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t552 t553))
% 2.25/2.49  (step t555 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule implies_neg2)
% 2.25/2.49  (step t556 (cl (=> (forall ((X $$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 $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule resolution :premises (t554 t555))
% 2.25/2.49  (step t557 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule contraction :premises (t556))
% 2.25/2.49  (step t558 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule implies :premises (t557))
% 2.25/2.49  (step t559 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule resolution :premises (t558 t362))
% 2.25/2.49  (step t560 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t561)
% 2.25/2.49  (assume t561.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 2.25/2.49  (step t561.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule forall_inst :args ((:= X tptp.z3) (:= Y (tptp.meet tptp.a tptp.z1))))
% 2.25/2.49  (step t561.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule or :premises (t561.t1))
% 2.25/2.49  (step t561.t3 (cl (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t561.t2 t561.a0))
% 2.25/2.49  (step t561 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule subproof :discharge (t561.a0))
% 2.25/2.49  (step t562 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t560 t561))
% 2.25/2.49  (step t563 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (not (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule implies_neg2)
% 2.25/2.49  (step t564 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule resolution :premises (t562 t563))
% 2.25/2.49  (step t565 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))))) :rule contraction :premises (t564))
% 2.25/2.49  (step t566 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule implies :premises (t565))
% 2.25/2.49  (step t567 (cl (= tptp.z3 (tptp.join tptp.z3 (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t566 t362))
% 2.25/2.49  (step t568 (cl (=> (forall ((X $$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 $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t569)
% 2.25/2.49  (assume t569.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 2.25/2.49  (step t569.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule forall_inst :args ((:= X tptp.z2) (:= Y (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 2.25/2.49  (step t569.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule or :premises (t569.t1))
% 2.25/2.49  (step t569.t3 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t569.t2 t569.a0))
% 2.25/2.49  (step t569 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule subproof :discharge (t569.a0))
% 2.25/2.49  (step t570 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t568 t569))
% 2.25/2.49  (step t571 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg2)
% 2.25/2.49  (step t572 (cl (=> (forall ((X $$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 $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule resolution :premises (t570 t571))
% 2.25/2.49  (step t573 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule contraction :premises (t572))
% 2.25/2.49  (step t574 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies :premises (t573))
% 2.25/2.49  (step t575 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t574 t362))
% 2.25/2.49  (step t576 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t577)
% 2.25/2.49  (assume t577.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 2.25/2.49  (step t577.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))) :rule forall_inst :args ((:= X (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3))) (:= Y tptp.z2) (:= Z tptp.z3)))
% 2.25/2.49  (step t577.t2 (cl (not (forall ((X $$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 (t577.t1))
% 2.25/2.49  (step t577.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 (t577.t2 t577.a0))
% 2.25/2.49  (step t577 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule subproof :discharge (t577.a0))
% 2.25/2.49  (step t578 (cl (=> (forall ((X $$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 (t576 t577))
% 2.25/2.49  (step t579 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))) :rule implies_neg2)
% 2.25/2.49  (step t580 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))) :rule resolution :premises (t578 t579))
% 2.25/2.49  (step t581 (cl (=> (forall ((X $$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 (t580))
% 2.25/2.49  (step t582 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule implies :premises (t581))
% 2.25/2.49  (step t583 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule resolution :premises (t582 a3))
% 2.25/2.49  (step t584 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t585)
% 2.25/2.49  (assume t585.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 2.25/2.49  (step t585.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X tptp.z3) (:= Y tptp.z2) (:= Z (tptp.meet tptp.z2 tptp.z3))))
% 2.25/2.49  (step t585.t2 (cl (not (forall ((X $$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 (t585.t1))
% 2.25/2.49  (step t585.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 (t585.t2 t585.a0))
% 2.25/2.49  (step t585 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule subproof :discharge (t585.a0))
% 2.25/2.49  (step t586 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.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 (t584 t585))
% 2.25/2.49  (step t587 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule implies_neg2)
% 2.25/2.49  (step t588 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (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 $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t586 t587))
% 2.25/2.49  (step t589 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))) (= (tptp.join tptp.z3 (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 (t588))
% 2.25/2.49  (step t590 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z)))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule implies :premises (t589))
% 2.25/2.49  (step t591 (cl (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t590 a3))
% 2.25/2.49  (step t592 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t593)
% 2.25/2.49  (assume t593.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.25/2.49  (step t593.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule forall_inst :args ((:= X (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (:= Y (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 2.25/2.49  (step t593.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t593.t1))
% 2.25/2.49  (step t593.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t593.t2 t593.a0))
% 2.25/2.49  (step t593 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule subproof :discharge (t593.a0))
% 2.25/2.49  (step t594 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t592 t593))
% 2.25/2.49  (step t595 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule implies_neg2)
% 2.25/2.49  (step t596 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule resolution :premises (t594 t595))
% 2.25/2.49  (step t597 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t596))
% 2.25/2.49  (step t598 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule implies :premises (t597))
% 2.25/2.49  (step t599 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t598 a2))
% 2.25/2.49  (step t600 (cl (not (= (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule equiv_pos2)
% 2.25/2.49  (step t601 (cl (= (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))) :rule refl)
% 2.25/2.49  (step t602 (cl (= (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule all_simplify)
% 2.25/2.49  (step t603 (cl (= (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))))) :rule cong :premises (t601 t602))
% 2.25/2.49  (step t604 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t605)
% 2.25/2.49  (assume t605.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.49  (step t605.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z3) (:= Z (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.49  (step t605.t2 (cl (not (forall ((X $$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 (t605.t1))
% 2.25/2.49  (step t605.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 (t605.t2 t605.a0))
% 2.25/2.49  (step t605 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t605.a0))
% 2.25/2.49  (step t606 (cl (=> (forall ((X $$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 (t604 t605))
% 2.25/2.49  (step t607 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 2.25/2.49  (step t608 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t606 t607))
% 2.25/2.49  (step t609 (cl (=> (forall ((X $$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 (t608))
% 2.25/2.49  (step t610 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule resolution :premises (t600 t603 t609))
% 2.25/2.49  (step t611 (cl (not (forall ((X $$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 (t610))
% 2.25/2.49  (step t612 (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 (t611 a1))
% 2.25/2.49  (step t613 (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)
% 2.25/2.49  (anchor :step t614)
% 2.25/2.49  (assume t614.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.49  (step t614.t1 (cl (or (not (forall ((X $$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)))))
% 2.25/2.49  (step t614.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t614.t1))
% 2.25/2.49  (step t614.t3 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t614.t2 t614.a0))
% 2.25/2.49  (step t614 (cl (not (forall ((X $$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 (t614.a0))
% 2.25/2.49  (step t615 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t613 t614))
% 2.25/2.49  (step t616 (cl (=> (forall ((X $$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)
% 2.25/2.49  (step t617 (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 (t615 t616))
% 2.25/2.49  (step t618 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t617))
% 2.25/2.49  (step t619 (cl (not (forall ((X $$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 (t618))
% 2.25/2.49  (step t620 (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 (t619 a1))
% 2.25/2.49  (step t621 (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)
% 2.25/2.49  (anchor :step t622)
% 2.25/2.49  (assume t622.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.49  (step t622.t1 (cl (or (not (forall ((X $$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))))
% 2.25/2.49  (step t622.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t622.t1))
% 2.25/2.49  (step t622.t3 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t622.t2 t622.a0))
% 2.25/2.49  (step t622 (cl (not (forall ((X $$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 (t622.a0))
% 2.25/2.49  (step t623 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t621 t622))
% 2.25/2.49  (step t624 (cl (=> (forall ((X $$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)
% 2.25/2.49  (step t625 (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 (t623 t624))
% 2.25/2.49  (step t626 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t625))
% 2.25/2.49  (step t627 (cl (not (forall ((X $$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 (t626))
% 2.25/2.49  (step t628 (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 (t627 a1))
% 2.25/2.49  (step t629 (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)
% 2.25/2.49  (anchor :step t630)
% 2.25/2.49  (assume t630.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.49  (step t630.t1 (cl (or (not (forall ((X $$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)))
% 2.25/2.49  (step t630.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule or :premises (t630.t1))
% 2.25/2.49  (step t630.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule resolution :premises (t630.t2 t630.a0))
% 2.25/2.49  (step t630 (cl (not (forall ((X $$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 (t630.a0))
% 2.25/2.49  (step t631 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule resolution :premises (t629 t630))
% 2.25/2.49  (step t632 (cl (=> (forall ((X $$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)
% 2.25/2.49  (step t633 (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 (t631 t632))
% 2.25/2.49  (step t634 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule contraction :premises (t633))
% 2.25/2.49  (step t635 (cl (not (forall ((X $$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 (t634))
% 2.25/2.49  (step t636 (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 (t635 a1))
% 2.25/2.49  (step t637 (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)
% 2.25/2.49  (anchor :step t638)
% 2.25/2.49  (assume t638.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.49  (step t638.t1 (cl (or (not (forall ((X $$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)))
% 2.25/2.49  (step t638.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule or :premises (t638.t1))
% 2.25/2.49  (step t638.t3 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t638.t2 t638.a0))
% 2.25/2.49  (step t638 (cl (not (forall ((X $$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 (t638.a0))
% 2.25/2.49  (step t639 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule resolution :premises (t637 t638))
% 2.25/2.49  (step t640 (cl (=> (forall ((X $$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)
% 2.25/2.49  (step t641 (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 (t639 t640))
% 2.25/2.49  (step t642 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule contraction :premises (t641))
% 2.25/2.49  (step t643 (cl (not (forall ((X $$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 (t642))
% 2.25/2.49  (step t644 (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 (t643 a1))
% 2.25/2.49  (step t645 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t646)
% 2.25/2.49  (assume t646.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.49  (step t646.t1 (cl (or (not (forall ((X $$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))))
% 2.25/2.49  (step t646.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule or :premises (t646.t1))
% 2.25/2.49  (step t646.t3 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t646.t2 t646.a0))
% 2.25/2.49  (step t646 (cl (not (forall ((X $$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 (t646.a0))
% 2.25/2.49  (step t647 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t645 t646))
% 2.25/2.49  (step t648 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (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)
% 2.25/2.49  (step t649 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (=> (forall ((X $$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 (t647 t648))
% 2.25/2.49  (step t650 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule contraction :premises (t649))
% 2.25/2.49  (step t651 (cl (not (forall ((X $$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 (t650))
% 2.25/2.49  (step t652 (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 (t651 a1))
% 2.25/2.49  (step t653 (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)
% 2.25/2.49  (anchor :step t654)
% 2.25/2.49  (assume t654.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.49  (step t654.t1 (cl (or (not (forall ((X $$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))))
% 2.25/2.49  (step t654.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule or :premises (t654.t1))
% 2.25/2.49  (step t654.t3 (cl (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t654.t2 t654.a0))
% 2.25/2.49  (step t654 (cl (not (forall ((X $$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 (t654.a0))
% 2.25/2.49  (step t655 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t653 t654))
% 2.25/2.49  (step t656 (cl (=> (forall ((X $$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)
% 2.25/2.49  (step t657 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (=> (forall ((X $$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 (t655 t656))
% 2.25/2.49  (step t658 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule contraction :premises (t657))
% 2.25/2.49  (step t659 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.z3 (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 (t658))
% 2.25/2.49  (step t660 (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 (t659 a1))
% 2.25/2.49  (step t661 (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)
% 2.25/2.49  (anchor :step t662)
% 2.25/2.49  (assume t662.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.49  (step t662.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)))))
% 2.25/2.49  (step t662.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 (t662.t1))
% 2.25/2.49  (step t662.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 (t662.t2 t662.a0))
% 2.25/2.49  (step t662 (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 (t662.a0))
% 2.25/2.49  (step t663 (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 (t661 t662))
% 2.25/2.49  (step t664 (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)
% 2.25/2.49  (step t665 (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 (t663 t664))
% 2.25/2.49  (step t666 (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 (t665))
% 2.25/2.49  (step t667 (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 (t666))
% 2.25/2.49  (step t668 (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 (t667 a0))
% 2.25/2.49  (step t669 (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)
% 2.25/2.49  (anchor :step t670)
% 2.25/2.49  (assume t670.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.49  (step t670.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))))
% 2.25/2.49  (step t670.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 (t670.t1))
% 2.25/2.49  (step t670.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 (t670.t2 t670.a0))
% 2.25/2.49  (step t670 (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 (t670.a0))
% 2.25/2.49  (step t671 (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 (t669 t670))
% 2.25/2.49  (step t672 (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)
% 2.25/2.49  (step t673 (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 (t671 t672))
% 2.25/2.49  (step t674 (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 (t673))
% 2.25/2.49  (step t675 (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 (t674))
% 2.25/2.49  (step t676 (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 (t675 a0))
% 2.25/2.49  (step t677 (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)
% 2.25/2.49  (anchor :step t678)
% 2.25/2.49  (assume t678.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.49  (step t678.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))))
% 2.25/2.49  (step t678.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 (t678.t1))
% 2.25/2.49  (step t678.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 (t678.t2 t678.a0))
% 2.25/2.49  (step t678 (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 (t678.a0))
% 2.25/2.49  (step t679 (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 (t677 t678))
% 2.25/2.49  (step t680 (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)
% 2.25/2.49  (step t681 (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 (t679 t680))
% 2.25/2.49  (step t682 (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 (t681))
% 2.25/2.49  (step t683 (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 (t682))
% 2.25/2.49  (step t684 (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 (t683 a0))
% 2.25/2.49  (step t685 (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)
% 2.25/2.49  (anchor :step t686)
% 2.25/2.49  (assume t686.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 2.25/2.49  (step t686.t1 (cl (or (not (forall ((X1 $$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))))
% 2.25/2.49  (step t686.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule or :premises (t686.t1))
% 2.25/2.49  (step t686.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t686.t2 t686.a0))
% 2.25/2.49  (step t686 (cl (not (forall ((X1 $$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 (t686.a0))
% 2.25/2.49  (step t687 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule resolution :premises (t685 t686))
% 2.25/2.49  (step t688 (cl (=> (forall ((X1 $$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)
% 2.25/2.49  (step t689 (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 (t687 t688))
% 2.25/2.49  (step t690 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))) :rule contraction :premises (t689))
% 2.25/2.49  (step t691 (cl (not (forall ((X1 $$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 (t690))
% 2.25/2.49  (step t692 (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 (t691 a8))
% 2.25/2.49  (step t693 (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)
% 2.25/2.49  (anchor :step t694)
% 2.25/2.49  (assume t694.a0 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 2.25/2.49  (step t694.t1 (cl (or (not (forall ((X1 $$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))))
% 2.25/2.49  (step t694.t2 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule or :premises (t694.t1))
% 2.25/2.49  (step t694.t3 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t694.t2 t694.a0))
% 2.25/2.49  (step t694 (cl (not (forall ((X1 $$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 (t694.a0))
% 2.25/2.49  (step t695 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t693 t694))
% 2.25/2.49  (step t696 (cl (=> (forall ((X1 $$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)
% 2.25/2.49  (step t697 (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 (t695 t696))
% 2.25/2.49  (step t698 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule contraction :premises (t697))
% 2.25/2.49  (step t699 (cl (not (forall ((X1 $$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 (t698))
% 2.25/2.49  (step t700 (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 (t699 a8))
% 2.25/2.49  (step t701 (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)
% 2.25/2.49  (anchor :step t702)
% 2.25/2.49  (assume t702.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t702.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)))
% 2.25/2.49  (step t702.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 (t702.t1))
% 2.25/2.49  (step t702.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 (t702.t2 t702.a0))
% 2.25/2.49  (step t702 (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 (t702.a0))
% 2.25/2.49  (step t703 (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 (t701 t702))
% 2.25/2.49  (step t704 (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)
% 2.25/2.49  (step t705 (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 (t703 t704))
% 2.25/2.49  (step t706 (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 (t705))
% 2.25/2.49  (step t707 (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 (t706))
% 2.25/2.49  (step t708 (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 (t707 t269))
% 2.25/2.49  (step t709 (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)
% 2.25/2.49  (anchor :step t710)
% 2.25/2.49  (assume t710.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t710.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))))
% 2.25/2.49  (step t710.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 (t710.t1))
% 2.25/2.49  (step t710.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 (t710.t2 t710.a0))
% 2.25/2.49  (step t710 (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 (t710.a0))
% 2.25/2.49  (step t711 (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 (t709 t710))
% 2.25/2.49  (step t712 (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)
% 2.25/2.49  (step t713 (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 (t711 t712))
% 2.25/2.49  (step t714 (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 (t713))
% 2.25/2.49  (step t715 (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 (t714))
% 2.25/2.49  (step t716 (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 (t715 t269))
% 2.25/2.49  (step t717 (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)
% 2.25/2.49  (anchor :step t718)
% 2.25/2.49  (assume t718.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t718.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))))
% 2.25/2.49  (step t718.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 (t718.t1))
% 2.25/2.49  (step t718.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 (t718.t2 t718.a0))
% 2.25/2.49  (step t718 (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 (t718.a0))
% 2.25/2.49  (step t719 (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 (t717 t718))
% 2.25/2.49  (step t720 (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)
% 2.25/2.49  (step t721 (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 (t719 t720))
% 2.25/2.49  (step t722 (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 (t721))
% 2.25/2.49  (step t723 (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 (t722))
% 2.25/2.49  (step t724 (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 (t723 t269))
% 2.25/2.49  (step t725 (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)
% 2.25/2.49  (anchor :step t726)
% 2.25/2.49  (assume t726.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t726.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)))
% 2.25/2.49  (step t726.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 (t726.t1))
% 2.25/2.49  (step t726.t3 (cl (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t726.t2 t726.a0))
% 2.25/2.49  (step t726 (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 (t726.a0))
% 2.25/2.49  (step t727 (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 (t725 t726))
% 2.25/2.49  (step t728 (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)
% 2.25/2.49  (step t729 (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 (t727 t728))
% 2.25/2.49  (step t730 (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 (t729))
% 2.25/2.49  (step t731 (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 (t730))
% 2.25/2.49  (step t732 (cl (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t731 t269))
% 2.25/2.49  (step t733 (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)
% 2.25/2.49  (anchor :step t734)
% 2.25/2.49  (assume t734.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 2.25/2.49  (step t734.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))))
% 2.25/2.49  (step t734.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 (t734.t1))
% 2.25/2.49  (step t734.t3 (cl (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t734.t2 t734.a0))
% 2.25/2.49  (step t734 (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 (t734.a0))
% 2.25/2.49  (step t735 (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 (t733 t734))
% 2.25/2.49  (step t736 (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)
% 2.25/2.49  (step t737 (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 (t735 t736))
% 2.25/2.49  (step t738 (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 (t737))
% 2.25/2.49  (step t739 (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 (t738))
% 2.25/2.49  (step t740 (cl (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t739 t269))
% 2.25/2.49  (step t741 (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.z3) (tptp.join (tptp.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))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t742)
% 2.25/2.49  (assume t742.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 2.25/2.49  (step t742.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.z3) (tptp.join (tptp.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 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))))
% 2.25/2.49  (step t742.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.z3) (tptp.join (tptp.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 or :premises (t742.t1))
% 2.25/2.49  (step t742.t3 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 resolution :premises (t742.t2 t742.a0))
% 2.25/2.49  (step t742 (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.z3) (tptp.join (tptp.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 subproof :discharge (t742.a0))
% 2.25/2.49  (step t743 (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.z3) (tptp.join (tptp.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.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 resolution :premises (t741 t742))
% 2.25/2.49  (step t744 (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.z3) (tptp.join (tptp.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))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 implies_neg2)
% 2.25/2.49  (step t745 (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.z3) (tptp.join (tptp.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))))) (=> (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.z3) (tptp.join (tptp.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 resolution :premises (t743 t744))
% 2.25/2.49  (step t746 (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.z3) (tptp.join (tptp.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 contraction :premises (t745))
% 2.25/2.49  (step t747 (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.z3) (tptp.join (tptp.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 implies :premises (t746))
% 2.25/2.49  (step t748 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.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 resolution :premises (t747 t362))
% 2.25/2.49  (step t749 (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)
% 2.25/2.49  (anchor :step t750)
% 2.25/2.49  (assume t750.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 2.25/2.49  (step t750.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))))
% 2.25/2.49  (step t750.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 (t750.t1))
% 2.25/2.49  (step t750.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 (t750.t2 t750.a0))
% 2.25/2.49  (step t750 (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 (t750.a0))
% 2.25/2.49  (step t751 (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 (t749 t750))
% 2.25/2.49  (step t752 (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)
% 2.25/2.49  (step t753 (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 (t751 t752))
% 2.25/2.49  (step t754 (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 (t753))
% 2.25/2.49  (step t755 (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 (t754))
% 2.25/2.49  (step t756 (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 (t755 t362))
% 2.25/2.49  (step t757 (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)
% 2.25/2.49  (anchor :step t758)
% 2.25/2.49  (assume t758.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 2.25/2.49  (step t758.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)))
% 2.25/2.49  (step t758.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 (t758.t1))
% 2.25/2.49  (step t758.t3 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t758.t2 t758.a0))
% 2.25/2.49  (step t758 (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 (t758.a0))
% 2.25/2.49  (step t759 (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 (t757 t758))
% 2.25/2.49  (step t760 (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)
% 2.25/2.49  (step t761 (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 (t759 t760))
% 2.25/2.49  (step t762 (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 (t761))
% 2.25/2.49  (step t763 (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 (t762))
% 2.25/2.49  (step t764 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule resolution :premises (t763 t362))
% 2.25/2.49  (step t765 (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)
% 2.25/2.49  (anchor :step t766)
% 2.25/2.49  (assume t766.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.25/2.49  (step t766.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))))
% 2.25/2.49  (step t766.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 (t766.t1))
% 2.25/2.49  (step t766.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 (t766.t2 t766.a0))
% 2.25/2.49  (step t766 (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 (t766.a0))
% 2.25/2.49  (step t767 (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 (t765 t766))
% 2.25/2.49  (step t768 (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)
% 2.25/2.49  (step t769 (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 (t767 t768))
% 2.25/2.49  (step t770 (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 (t769))
% 2.25/2.49  (step t771 (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 (t770))
% 2.25/2.49  (step t772 (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 (t771 a2))
% 2.25/2.49  (step t773 (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)
% 2.25/2.49  (anchor :step t774)
% 2.25/2.49  (assume t774.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.25/2.49  (step t774.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)))
% 2.25/2.49  (step t774.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 (t774.t1))
% 2.25/2.49  (step t774.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 (t774.t2 t774.a0))
% 2.25/2.49  (step t774 (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 (t774.a0))
% 2.25/2.49  (step t775 (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 (t773 t774))
% 2.25/2.49  (step t776 (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)
% 2.25/2.49  (step t777 (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 (t775 t776))
% 2.25/2.49  (step t778 (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 (t777))
% 2.25/2.49  (step t779 (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 (t778))
% 2.25/2.49  (step t780 (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 (t779 a2))
% 2.25/2.49  (step t781 (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)
% 2.25/2.49  (anchor :step t782)
% 2.25/2.49  (assume t782.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.25/2.49  (step t782.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))))
% 2.25/2.49  (step t782.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 (t782.t1))
% 2.25/2.49  (step t782.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 (t782.t2 t782.a0))
% 2.25/2.49  (step t782 (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 (t782.a0))
% 2.25/2.49  (step t783 (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 (t781 t782))
% 2.25/2.49  (step t784 (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)
% 2.25/2.49  (step t785 (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 (t783 t784))
% 2.25/2.49  (step t786 (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 (t785))
% 2.25/2.49  (step t787 (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 (t786))
% 2.25/2.49  (step t788 (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 (t787 a2))
% 2.25/2.49  (step t789 (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)
% 2.25/2.49  (anchor :step t790)
% 2.25/2.49  (assume t790.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 2.25/2.49  (step t790.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)))
% 2.25/2.49  (step t790.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 (t790.t1))
% 2.25/2.49  (step t790.t3 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule resolution :premises (t790.t2 t790.a0))
% 2.25/2.49  (step t790 (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 (t790.a0))
% 2.25/2.49  (step t791 (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 (t789 t790))
% 2.25/2.49  (step t792 (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)
% 2.25/2.49  (step t793 (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 (t791 t792))
% 2.25/2.49  (step t794 (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 (t793))
% 2.25/2.49  (step t795 (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 (t794))
% 2.25/2.49  (step t796 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule resolution :premises (t795 a2))
% 2.25/2.49  (step t797 (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)
% 2.25/2.49  (step t798 (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)
% 2.25/2.49  (step t799 (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 (t601 t798))
% 2.25/2.49  (step t800 (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)
% 2.25/2.49  (anchor :step t801)
% 2.25/2.49  (assume t801.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 2.25/2.49  (step t801.t1 (cl (or (not (forall ((X $$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))))
% 2.25/2.49  (step t801.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule or :premises (t801.t1))
% 2.25/2.49  (step t801.t3 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t801.t2 t801.a0))
% 2.25/2.49  (step t801 (cl (not (forall ((X $$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 (t801.a0))
% 2.25/2.49  (step t802 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule resolution :premises (t800 t801))
% 2.25/2.49  (step t803 (cl (=> (forall ((X $$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)
% 2.25/2.49  (step t804 (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 (t802 t803))
% 2.25/2.49  (step t805 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule contraction :premises (t804))
% 2.25/2.49  (step t806 (cl (=> (forall ((X $$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 (t797 t799 t805))
% 2.25/2.49  (step t807 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule implies :premises (t806))
% 2.25/2.49  (step t808 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t807 a1))
% 2.25/2.49  (step t809 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t810)
% 2.25/2.49  (assume t810.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.49  (step t810.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 2.25/2.49  (step t810.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule or :premises (t810.t1))
% 2.25/2.49  (step t810.t3 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t810.t2 t810.a0))
% 2.25/2.49  (step t810 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule subproof :discharge (t810.a0))
% 2.25/2.49  (step t811 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t809 t810))
% 2.25/2.49  (step t812 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule implies_neg2)
% 2.25/2.49  (step t813 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule resolution :premises (t811 t812))
% 2.25/2.49  (step t814 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule contraction :premises (t813))
% 2.25/2.49  (step t815 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule implies :premises (t814))
% 2.25/2.49  (step t816 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule resolution :premises (t815 a0))
% 2.25/2.49  (step t817 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t818)
% 2.25/2.49  (assume t818.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.49  (step t818.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y (tptp.join tptp.z2 tptp.z3))))
% 2.25/2.49  (step t818.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t818.t1))
% 2.25/2.49  (step t818.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t818.t2 t818.a0))
% 2.25/2.49  (step t818 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t818.a0))
% 2.25/2.49  (step t819 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t817 t818))
% 2.25/2.49  (step t820 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 2.25/2.49  (step t821 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t819 t820))
% 2.25/2.49  (step t822 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t821))
% 2.25/2.49  (step t823 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t822))
% 2.25/2.49  (step t824 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t823 a0))
% 2.25/2.49  (step t825 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t826)
% 2.25/2.49  (assume t826.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.49  (step t826.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z3)))
% 2.25/2.49  (step t826.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t826.t1))
% 2.25/2.49  (step t826.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t826.t2 t826.a0))
% 2.25/2.49  (step t826 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t826.a0))
% 2.25/2.49  (step t827 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t825 t826))
% 2.25/2.49  (step t828 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 2.25/2.49  (step t829 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t827 t828))
% 2.25/2.49  (step t830 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t829))
% 2.25/2.49  (step t831 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t830))
% 2.25/2.49  (step t832 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z3 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t831 a0))
% 2.25/2.49  (step t833 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t834)
% 2.25/2.49  (assume t834.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.49  (step t834.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z2)))
% 2.25/2.49  (step t834.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule or :premises (t834.t1))
% 2.25/2.49  (step t834.t3 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t834.t2 t834.a0))
% 2.25/2.49  (step t834 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule subproof :discharge (t834.a0))
% 2.25/2.49  (step t835 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t833 t834))
% 2.25/2.49  (step t836 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))) :rule implies_neg2)
% 2.25/2.49  (step t837 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))) :rule resolution :premises (t835 t836))
% 2.25/2.49  (step t838 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))) :rule contraction :premises (t837))
% 2.25/2.49  (step t839 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule implies :premises (t838))
% 2.25/2.49  (step t840 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule resolution :premises (t839 a0))
% 2.25/2.49  (step t841 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t842)
% 2.25/2.49  (assume t842.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 2.25/2.49  (step t842.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))) :rule forall_inst :args ((:= X tptp.z2) (:= Y tptp.z3)))
% 2.25/2.49  (step t842.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule or :premises (t842.t1))
% 2.25/2.49  (step t842.t3 (cl (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule resolution :premises (t842.t2 t842.a0))
% 2.25/2.49  (step t842 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule subproof :discharge (t842.a0))
% 2.25/2.49  (step t843 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule resolution :premises (t841 t842))
% 2.25/2.49  (step t844 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))) :rule implies_neg2)
% 2.25/2.49  (step t845 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))) :rule resolution :premises (t843 t844))
% 2.25/2.49  (step t846 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))) :rule contraction :premises (t845))
% 2.25/2.49  (step t847 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule implies :premises (t846))
% 2.25/2.49  (step t848 (cl (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule resolution :premises (t847 a0))
% 2.25/2.49  (step t849 (cl (=> (forall ((X1 $$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 $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t850)
% 2.25/2.49  (assume t850.a0 (forall ((X1 $$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)))))
% 2.25/2.49  (step t850.t1 (cl (or (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule forall_inst :args ((:= X1 tptp.z1) (:= Y1 tptp.z2) (:= W tptp.z3)))
% 2.25/2.49  (step t850.t2 (cl (not (forall ((X1 $$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 (t850.t1))
% 2.25/2.49  (step t850.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 (t850.t2 t850.a0))
% 2.25/2.49  (step t850 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule subproof :discharge (t850.a0))
% 2.25/2.49  (step t851 (cl (=> (forall ((X1 $$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 (t849 t850))
% 2.25/2.49  (step t852 (cl (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule implies_neg2)
% 2.25/2.49  (step t853 (cl (=> (forall ((X1 $$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 $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule resolution :premises (t851 t852))
% 2.25/2.49  (step t854 (cl (=> (forall ((X1 $$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 (t853))
% 2.25/2.49  (step t855 (cl (not (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule implies :premises (t854))
% 2.25/2.49  (step t856 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule resolution :premises (t855 a8))
% 2.25/2.49  (step t857 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 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) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t858)
% 2.25/2.49  (assume t858.a0 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1)))))
% 2.25/2.49  (step t858.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z2) (:= X1 tptp.z3)))
% 2.25/2.49  (step t858.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 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 (t858.t1))
% 2.25/2.49  (step t858.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 (t858.t2 t858.a0))
% 2.25/2.49  (step t858 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule subproof :discharge (t858.a0))
% 2.25/2.49  (step t859 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.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 (t857 t858))
% 2.25/2.49  (step t860 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule implies_neg2)
% 2.25/2.49  (step t861 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 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) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule resolution :premises (t859 t860))
% 2.25/2.49  (step t862 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1)))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 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 (t861))
% 2.25/2.49  (step t863 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lome X Y X1) (tptp.join (tptp.meet X Y) (tptp.meet X X1))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule implies :premises (t862))
% 2.25/2.49  (step t864 (cl (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule resolution :premises (t863 a7))
% 2.25/2.49  (step t865 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) :rule implies_neg1)
% 2.25/2.49  (anchor :step t866)
% 2.25/2.49  (assume t866.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 2.25/2.49  (step t866.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.z1)) (:= Y tptp.z2) (:= Z tptp.z3)))
% 2.25/2.49  (step t866.t2 (cl (not (forall ((X $$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 (t866.t1))
% 2.25/2.49  (step t866.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 (t866.t2 t866.a0))
% 2.25/2.49  (step t866 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule subproof :discharge (t866.a0))
% 2.25/2.49  (step t867 (cl (=> (forall ((X $$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 (t865 t866))
% 2.25/2.49  (step t868 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule implies_neg2)
% 2.25/2.49  (step t869 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule resolution :premises (t867 t868))
% 2.25/2.49  (step t870 (cl (=> (forall ((X $$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 (t869))
% 2.25/2.49  (step t871 (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 (t870))
% 2.25/2.49  (step t872 (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 (t871 a6))
% 2.25/2.49  (step t873 (cl) :rule resolution :premises (t251 t259 t270 t278 t286 t294 t302 t310 t323 t331 t344 t352 t363 t371 t379 t387 t395 t403 t411 t419 t427 t435 t443 t451 t459 t467 t475 t487 t495 t503 t511 t519 t527 t535 t543 t551 t559 t567 t575 t583 t591 t599 t612 t620 t628 t636 t644 t652 t660 t668 t676 t684 t692 t700 t708 t716 t724 t732 t740 t748 t756 t764 t772 t780 t788 t796 t808 t816 t824 t832 t840 t848 t856 t864 t872 a9))
% 2.25/2.49  
% 2.25/2.49  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.JyPzMHOCPC/cvc5---1.0.5_495.smt2
% 2.25/2.50  % cvc5---1.0.5 exiting
% 2.25/2.50  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------